Part of the Mathematics Commons

Works in Mathematics

2023

How Not to Get Lost While on a Random Walk, Robert Lewand
Electronic Proceedings of Undergraduate Mathematics Day

Ramanujan Graphs in the Construction of LDPC Codes, Walter H. Chen
Electronic Proceedings of Undergraduate Mathematics Day

Newton’s Unfinished Business: Uncovering the Hidden Powers of Eleven in Pascal’s Triangle, Robert Arnold, Tom Attenweiler, Christopher Brockman, Bethany Lesko, Christine Martinek, Colleen McCormick, Jessica McQuiston, Jessica Parker, Amy Rohmiller
Electronic Proceedings of Undergraduate Mathematics Day

Curvature and the Shape of the Universe, Chikako Mese
Electronic Proceedings of Undergraduate Mathematics Day

Pebbling on Directed Graphs, Gayatri Gunda, Aparna Higgins
Electronic Proceedings of Undergraduate Mathematics Day

Some Interesting Multiples of Nine: Use Your Digits to Get the Digits!, Kevin Hurley
Electronic Proceedings of Undergraduate Mathematics Day

Newton-Raphson Versus Fisher Scoring Algorithms in Calculating Maximum Likelihood Estimates, Andrew Schworer, Peter Hovey
Electronic Proceedings of Undergraduate Mathematics Day

2004 Vol. 1 Table of Contents,
Electronic Proceedings of Undergraduate Mathematics Day

Shuffle Up and Deal: Should We Have Jokers Wild?, Kristen Lampe
Electronic Proceedings of Undergraduate Mathematics Day

Methods of Solution of Second Order Linear Equations on Time Scales, Ashley Askew
Electronic Proceedings of Undergraduate Mathematics Day

Bisections and Reflections: A Geometric Investigation, Carrie Carden, Jessie Penley
Electronic Proceedings of Undergraduate Mathematics Day

Brownian Motion and Its Applications In The Stock Market, Angeliki Ermogenous
Electronic Proceedings of Undergraduate Mathematics Day

Adventures with Rubik's UFO, Bill Higgins
Electronic Proceedings of Undergraduate Mathematics Day

An Investigation of Continued Fractions, Kristi Patton, Sandra Schroeder, Richard Daquila
Electronic Proceedings of Undergraduate Mathematics Day

Mathematical and Numerical Modeling of Inflammation, Joshua Sullivan, Ivan Yotov
Electronic Proceedings of Undergraduate Mathematics Day

2006 Vol. 2 Table of Contents,
Electronic Proceedings of Undergraduate Mathematics Day

Pricing the Asian Call Option, Vinh Xuan Dang, Scott Glasgow, Harrison Potter, Stephen Taylor
Electronic Proceedings of Undergraduate Mathematics Day

Breaking the Curve, Amanda Dahlman, Jesse DePinto, Kyle Kremer, Joe Plattenburg
Electronic Proceedings of Undergraduate Mathematics Day

A New Spin on Baseball, Allison Horney, Taylor Lowry, Eric Schwenker, Evan Wray
Electronic Proceedings of Undergraduate Mathematics Day

An Application of Analytic Geometry to Designing Machine Parts--and Dresses, Karl Hess
Electronic Proceedings of Undergraduate Mathematics Day

Rearrangement on Conditionally Convergent Integrals in Analogy to Series, Edward J. Timko
Electronic Proceedings of Undergraduate Mathematics Day

Determining the Statistical Significance of Observed Frequencies of Short DNA Motifs in a Genome, Philip E. Pfeiffer, Peter W. Hovey, Sudhindra R. Gadagkar
Electronic Proceedings of Undergraduate Mathematics Day

2008 Vol. 3 Table of Contents,
Electronic Proceedings of Undergraduate Mathematics Day

The Marshall Differential Analyzer: a Visual Interpretation of Mathematics, Bonita A. Lawrence, Richard P. Merritt, Devon A. Tivener
Electronic Proceedings of Undergraduate Mathematics Day

Distance Functions and Attribute Weighting in a K-Nearest Neighbors Classifier, Alyssa C. Frazee, Matthew A. Hathcock, Samantha C. Bates Prins
Electronic Proceedings of Undergraduate Mathematics Day

Just Sit Back and Let the Girth Model Make Money for You, Ellham Negahdary
Electronic Proceedings of Undergraduate Mathematics Day

On the Construction of Order Six Multilevel Hadamard Matrices, Keli Parker
Electronic Proceedings of Undergraduate Mathematics Day

Uniqueness of Solutions Implies Existence and Uniqueness of Solutions of Boundary Value Problems for Third Order Differential Equations, Veronica Respress
Electronic Proceedings of Undergraduate Mathematics Day

2010 Vol. 4 Table of Contents,
Electronic Proceedings of Undergraduate Mathematics Day

Finite Sum Representations of Elements in R and R2, Lewis T. Dominguez, Rachelle R. Bouchat
Electronic Proceedings of Undergraduate Mathematics Day

Alcoholism: A Mathematical Model with Media Awareness Campaigns, Erik H. Ander, Zeynep Teymuroglu
Electronic Proceedings of Undergraduate Mathematics Day

Magic Polygons and Their Properties, Victoria Jakicic, Rachelle Bouchat
Electronic Proceedings of Undergraduate Mathematics Day

Generalized Catalan Numbers And Objects: X; Y Equivalence Classes And Polyominoes, Emily S. Dautenhahn, Hannah E. Pieper
Electronic Proceedings of Undergraduate Mathematics Day

Mathematics with Only Rods, Jianqiao Mao, Zheng Yang
Electronic Proceedings of Undergraduate Mathematics Day

How One’s Risk Preferences Affect Their Investment Decisions, Kari Hayes, Anna Petrick
Electronic Proceedings of Undergraduate Mathematics Day

Baseball: Defense or No?, Jacob D. Stemmerich
Electronic Proceedings of Undergraduate Mathematics Day

Analysis of Weights in Central Difference Formulas for Approximation of the First Derivative, Preston R. Boorsma
Electronic Proceedings of Undergraduate Mathematics Day

Derivation of the (Closed-Form) Particular Solution of the Poisson’s Equation in 3D Using Oscillatory Radial Basis Function, Anup R. Lamichhane, Steven Manns
Electronic Proceedings of Undergraduate Mathematics Day

Climbing the Branches of the Graceful Tree Conjecture, Rachelle Bouchat, Patrick Cone
Electronic Proceedings of Undergraduate Mathematics Day

Poster: 2019 Undergraduate Mathematics Day,
Electronic Proceedings of Undergraduate Mathematics Day

Program: 2019 Undergraduate Mathematics Day,
Electronic Proceedings of Undergraduate Mathematics Day

Finding an Effective Shape Parameter Strategy to Obtain the Optimal Shape Parameter of the Oscillatory Radial Basis Function Collocation in 3D, Quinnlan Aiken, Annika Murray, Ar Lamichhane
Electronic Proceedings of Undergraduate Mathematics Day

Program: 2021 Undergraduate Mathematics Day,
Electronic Proceedings of Undergraduate Mathematics Day

Fixed Points of Functions below the Line y = x, Grace Fryling, Harrison Rouse
Electronic Proceedings of Undergraduate Mathematics Day

Efficient Conformal Binary Classification under Nearest Neighbor, Maxwell Lovig
Electronic Proceedings of Undergraduate Mathematics Day

Using Circle Packings to Approximate Harmonic Measure Distribution Functions, Ella Wilson
Electronic Proceedings of Undergraduate Mathematics Day

2022

Using Circle Packings to Approximate Harmonic Measure Distribution Functions, Ella Wilson
Undergraduate Mathematics Day: Past Content

PDF

Fixed Points of Functions below the Line y = x, Grace Fryling, Harrison Rouse
Undergraduate Mathematics Day: Past Content

PDF

Efficient Conformal Binary Classification under Nearest Neighbor, Maxwell Lovig
Undergraduate Mathematics Day: Past Content

PDF

Finding an Effective Shape Parameter Strategy to Obtain the Optimal Shape Parameter of the Oscillatory Radial Basis Function Collocation in 3D, Quinnlan Aiken, Annika Murray, Ar Lamichhane
Undergraduate Mathematics Day: Past Content

PDF

2021

A Leggett-Williams type theorem applied to a fourth order problem, Richard Avery, Paul Eloe, Johnny Henderson
Paul W. Eloe

A boundary value problem for a system of difference equations, Paul W. Eloe
Paul W. Eloe

A continuation of the discussion on cross symmetry of solutions, Paul W. Eloe, Qin Sheng
Paul W. Eloe

A comparison theorem for linear difference equations, Paul W. Eloe
Paul W. Eloe

A boundary value problem on an unbounded domain, Paul W. Eloe, Louis J. Grimm, Joe D. Mashburn
Paul W. Eloe

A boundary value problem for a system of ordinary differential equations with impulse effects, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

A generalization of concavity for finite differences, Paul W. Eloe
Paul W. Eloe

A note on quasilinearization for impulsive systems, Paul W. Eloe, S. G. Hristova
Paul W. Eloe

An example employing convexity in functional fixed point arguments, Richard I. Avery, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

A method of forced monotonicity for conjugate type boundary value problems for ordinary differential equations, Paul W. Eloe, P. L. Saintignon
Paul W. Eloe

A transform method in discrete fractional calculus, Ferhan M. Atici, Paul W. Eloe
Paul W. Eloe

A qualitative analysis on nonconstant graininess of the adaptive grids via time scales, Paul W. Eloe, Stefan Hilger, Qin Sheng
Paul W. Eloe

A unique limiting Green's function for a class of singular boundary value problems, Paul W. Eloe, Eric R. Kaufmann
Paul W. Eloe

A singular boundary value problem for a right disfocal linear differential operator, Paul W. Eloe, Eric R. Kaufmann
Paul W. Eloe

A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations, Paul W. Eloe, Yongzhi Zhang
Paul W. Eloe

A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices, Bashir Ahmad, Paul Eloe
Paul W. Eloe

Differentiability with respect to boundary conditions and deviating argument for functional-differential systems, Jeffrey Ehme, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Convolutions and Green’s Functions for Two Families of Boundary Value Problems for Fractional Differential Equations, Paul W. Eloe, Jeffrey T. Neugebauer
Paul W. Eloe

Conjugate points for fractional differential equations, Paul W. Eloe, Jeffrey T. Neugebauer
Paul W. Eloe

Bifurcation from infinity and higher order ordinary differential equations, Joe Coyle, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Difference equations and multipoint boundary value problems, Paul W. Eloe
Paul W. Eloe

Criteria for right disfocality of linear difference equations, Paul W. Eloe
Paul W. Eloe

Comparison of eigenvalues for discrete Lidstone boundary value problems, John M. Davis, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Countable positive solutions of a conjugate boundary value problem, Paul W. Eloe, Johnny Henderson, Nickolai Kosmatov
Paul W. Eloe

Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization, Paul W. Eloe, Qin Sheng
Paul W. Eloe

Concavity of solutions of a 2n-th order problem with symmetry, Abdulmalik Altwaty, Paul W. Eloe
Paul W. Eloe

Conjugate type boundary value problems for functional-differential equations, Paul W. Eloe, Louis J. Grimm
Paul W. Eloe

Analogues of Fekete and Descartes systems of solutions for difference equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Comparison of Green's functions for a family of multipoint boundary value problems, Paul W. Eloe, Lingqin Zhang
Paul W. Eloe

Families of boundary conditions for nonlinear ordinary differential equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Fixed points and solutions of boundary value problems at resonance, Alaa Almansour, Paul W. Eloe
Paul W. Eloe

Focal point characterizations and comparisons for right focal differential operators, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Extremal points for impulsive Lidstone boundary value problems, Paul W. Eloe, Johnny Henderson, H. B. Thompson
Paul W. Eloe

Existence, uniqueness and constructive results for delay differential equations, Paul W. Eloe, Youssef N. Raffoul, Christopher C. Tisdell
Paul W. Eloe

Existence and uniqueness of solutions for impulsive fractional differential equations, Mujeeb ur Rehman, Paul W. Eloe
Paul W. Eloe

Differential systems and multipoint boundary value problems, Paul W. Eloe, Louis J. Grimm
Paul W. Eloe

Existence of solutions for 2nth order nonlinear generalized Sturm-Liouville boundary value problems, Jeffrey Ehme, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Existence of solutions for some singular higher order boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Existence of positive solutions to a singular system of boundary value problems, Naseer Ahmad Asif, Rahmat Ali Khan, Paul W. Eloe
Paul W. Eloe

Existence and uniqueness conditions for a class of (k+4j)-point n-th order boundary value problems, Paul W. Eloe, Johnny Henderson, Rahmat Ali Khan
Paul W. Eloe

Existence and comparison of smallest eigenvalues for a fractional boundary-value problem, Paul W. Eloe, Jeffrey T. Neugebauer
Paul W. Eloe

Discrete Kiguradze type inequalities, John M. Davis, Paul W. Eloe
Paul W. Eloe

Double barrier option under regime-switching exponential mean-reverting process, Paul W. Eloe, R. H. Liu, J. Y. Sun
Paul W. Eloe

Eventual disconjugacy and right disfocality of linear difference equations, Paul W. Eloe
Paul W. Eloe

Discrete fractional calculus with the nabla operator, Ferhan M. Atici, Paul W. Eloe
Paul W. Eloe

Initial value problems for Caputo fractional differential equations, Paul W. Eloe, Tyler Masthay
Paul W. Eloe

Linear systems of fractional nabla difference equations, Ferhan M. Atici, Paul W. Eloe
Paul W. Eloe

Gronwall's inequality on discrete fractional calculus, Ferhan M. Atici, Paul W. Eloe
Paul W. Eloe

Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions, Martin Bohner, Paul W. Eloe
Paul W. Eloe

Fractional q-calculus on a time scale, Ferhan M. Atici, Paul W. Eloe
Paul W. Eloe

Integral conditions for right disfocality of a linear differential equation, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Initial value problems in discrete fractional calculus, Ferhan M. Atici, Paul W. Eloe
Paul W. Eloe

Inequalities for solutions of multipoint boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions, Bashir Ahmad, Rahmat Ali Khan, Paul W. Eloe
Paul W. Eloe

Inequalities based on a generalization of concavity, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Focal points and comparison theorems for a class of two-point boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Multipoint boundary value problems for functional differential equations, Paul W. Eloe, Johnny Henderson, Denise Taunton
Paul W. Eloe

Multi-term linear fractional nabla difference equations with constant coefficients, Paul W. Eloe, Zi Ouyang
Paul W. Eloe

Multipoint boundary value problems for ordinary differential systems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Multiple positive solutions for difference equations, Paul W. Eloe, Johnny Henderson, Eric R. Kaufmann
Paul W. Eloe

Multiple solutions of a boundary value problem on an unbounded domain, Paul W. Eloe, Eric R. Kaufmann, Christopher C. Tisdell
Paul W. Eloe

Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions, Paul W. Eloe, S. G. Hristova
Paul W. Eloe

Monotone methods and fourth order Lidstone boundary value problems with impulse effects, Paul W. Eloe, Muhammad N. Islam
Paul W. Eloe

Monotone and quadratic convergence of approximate solutions of ordinary differential equations with impulse, Vidya Doddaballapur, Paul W. Eloe
Paul W. Eloe

Monotone iteration and Green's functions for boundary value problems, Paul W. Eloe, Louis J. Grimm
Paul W. Eloe

Maximum principles for a family of nonlocal boundary value problems, Paul W. Eloe
Paul W. Eloe

Positive solutions for a system of singular second order nonlocal boundary value problems, Naseer Ahmad Asif, Paul W. Eloe, Rahmat Ali Khan
Paul W. Eloe

Positive solutions and J-focal points for two-point boundary value problems, Paul W. Eloe, Darrel Hankerson, Johnny Henderson
Paul W. Eloe

On nonresonance impulsive functional differential equations with periodic boundary conditions, Mouffak Benchohra, Paul W. Eloe
Paul W. Eloe

Positive operators and maximum principles for ordinary differential equations, Paul W. Eloe
Paul W. Eloe

Positive solutions and nonlinear (k,n-k) conjugate eigenvalue problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Optimal selling rules in a regime-switching exponential Gaussian diffusion model, Paul W. Eloe, R. H. Liu, Masako Yatsuki
Paul W. Eloe

Optimal intervals for uniqueness of solutions for nonlocal boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Pair differentiation, Paul W. Eloe, Stefan Hilger
Paul W. Eloe

Optimal intervals for third order Lipschitz equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Nonlinear Interpolation and Boundary Value Problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Notes on crossed symmetry solutions of the two-point boundary value problems on time scales, Paul W. Eloe, Qin Sheng, Johnny Henderson
Paul W. Eloe

Nonlinear boundary value problems and a priori bounds on solutions, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Nonlinear eigenvalue problems for higher order Lidstone boundary value problems, Paul W. Eloe
Paul W. Eloe

Positive solutions and nonlinear multipoint conjugate eigenvalue problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Positive solutions and conjugate points for multipoint boundary value problems, Paul W. Eloe, Darrel Hankerson, Johnny Henderson
Paul W. Eloe

Positive Solutions for a Singular Fourth Order Nonlocal Boundary Value Problem, John M. Davis, Paul W. Eloe, John R. Graef, Johnny Henderson
Paul W. Eloe

Positive solutions for (n-1,1) conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Positive solutions and conjugate points for a boundary value problem with impulse, Paul W. Eloe, Michael Sokol
Paul W. Eloe

Positive solutions of boundary-value problems for disfocal ordinary differential equations, Paul W. Eloe
Paul W. Eloe

Singular nonlinear multipoint conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Singular nonlinear (k,n-k) conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Sign properties of Green's functions for a family of two-point boundary value problems, Paul W. Eloe, Jerry Ridenhour
Paul W. Eloe

Singular boundary value problems for quasi-differential equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Singular nonlinear (n-1,1) conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Sign properties of Green's functions for difference equations, Paul W. Eloe, Timothy Peil
Paul W. Eloe

Sign properties of Green's functions for two classes of boundary value problems, Paul W. Eloe
Paul W. Eloe

Quadratic convergence of approximate solutions of two-point boundary value problems with impulse, Vidya Doddaballapur, Paul W. Eloe, Yongzhi Zhang
Paul W. Eloe

Positive solutions of boundary value problems for ordinary differential equations with impulse, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Positive solutions of nonlinear functional difference equations, Paul W. Eloe, Y. Raffoul, D. T. Reid, K. C. Yin
Paul W. Eloe

Positive solutions of nonlocal boundary value problem for higher order fractional differential system, Mujeeb Ur Rehman, Rahmat Ali Khan, Paul W. Eloe
Paul W. Eloe

Right focal boundary value problems with impulse effects, Paul W. Eloe, Johnny Henderson, Tarique Khan
Paul W. Eloe

Positive solutions of three point boundary value problems, Paul W. Eloe, Janet McKelvey
Paul W. Eloe

Sign properties of Green's functions for disconjugate dynamic equations on time scales, Paul W. Eloe
Paul W. Eloe

Preface [Honoring the career of John Graef on the occasion of his sixty-seventh birthday], Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Positive solutions for higher order ordinary differential equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Positive solutions of boundary value problems for ordinary differential equations with dependence on higher order derivatives, Ahlam Abid, Paul Eloe
Paul W. Eloe

Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions, Paul W. Eloe, Bashir Ahmad
Paul W. Eloe

Positive solutions for two-point boundary value problems, Paul W. Eloe, Johnny Henderson, Patricia J. Y. Wong
Paul W. Eloe

Uniqueness conditions for a class of nonlocal boundary value problems, Paul W. Eloe, Rahmat Ali Khan
Paul W. Eloe

Twin solutions for nonlinear multipoint conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for nth order differential equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

The quasilinearization method on an unbounded domain, Paul W. Eloe
Paul W. Eloe

Uniqueness implies existence and uniqueness conditions for a class of (k+j)-point boundary value problems for nth order differential equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Two-point boundary value problems for finite fractional difference equations, Ferhan M. Atici, Paul W. Eloe
Paul W. Eloe

Triple positive solutions for multipoint conjugate boundary value problems, John M. Davis, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Triple positive solutions and dependence on higher order derivatives, John M. Davis, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

The role of concavity in applications of Avery type fixed point theorems to higher order differential equations, Abdulmalik A. Altwaty, Paul W. Eloe
Paul W. Eloe

The method of quasilinearization and dynamic equations on compact measure chains, Paul W. Eloe
Paul W. Eloe

Smallest Eigenvalues for a Right Focal Boundary Value Problem, Paul W. Eloe, Jeffrey T. Neugebauer
Paul W. Eloe

Some analogues of Markov and Descartes systems for right disfocality, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

The convergence of iterative solutions to the electric field integral equation, Daniel D. Reuster, Gary A. Thiele, Paul W. Eloe
Paul W. Eloe

The fast Fourier transform method and ill-conditioned matrices, Boon Yi Soon, Paul W. Eloe, David Kammler
Paul W. Eloe

Solutions of Differential Inequalities and Existence Theorems for Multi-Point Boundary Value Problems, Paul W. Eloe
Paul W. Eloe

The quasilinearization method for boundary value problems on time scales, Ferhan M. Atici, Paul W. Eloe, Billur Kaymakçalan
Paul W. Eloe

The method of quasilinearization and a three-point boundary value problem, Paul W. Eloe, Yang Gao
Paul W. Eloe

Singular nonlinear boundary value problems for higher order ordinary differential equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Upper and lower solutions for regime-switching diffusions with applications in financial mathematics, Paul W. Eloe, R. H. Liu
Paul W. Eloe

Uniqueness implies existence and uniqueness conditions for a class of (k+j)- point boundary value problems for n-th order differential equations, Paul W. Eloe, Johnny Henderson, Rahmat Ali Khan
Paul W. Eloe

Upper and Lower Solution Method for Boundary Value Problems at Resonance, Samerah Al Mosa, Paul W. Eloe
Paul W. Eloe

Upper and lower solution methods for fully nonlinear boundary value problems, Jeffrey Ehme, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Program: 2021 Undergraduate Mathematics Day, University of Dayton. Department of Mathematics
Undergraduate Mathematics Day: Past Content

PDF

2020

Quasilinearization Applied to Boundary Value Problems at Resonance for Riemann-Liouville Fractional Differential Equations, Paul W. Eloe, Jaganmohan Jonnalagadda
Mathematics Faculty Publications

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Three Point Boundary Value Problems for Ordinary Differential Equations, Uniqueness Implies Existence, Paul W. Eloe, Johnny Henderson, Jeffrey T. Neugebauer
Mathematics Faculty Publications

PDF

Two-Point Boundary Value Problems for Ordinary Differential Equations, Uniqueness Implies Existence, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Derivation of the (Closed-Form) Particular Solution of the Poisson’s Equation in 3D Using Oscillatory Radial Basis Function, Anup R. Lamichhane, Steven Manns
Undergraduate Mathematics Day: Past Content

PDF

Climbing the Branches of the Graceful Tree Conjecture, Rachelle Bouchat, Patrick Cone
Undergraduate Mathematics Day: Past Content

PDF

Analysis of Weights in Central Difference Formulas for Approximation of the First Derivative, Preston R. Boorsma
Undergraduate Mathematics Day: Past Content

PDF

2019

Quasilinearization and Boundary Value Problems at Resonance, Kareem Alanazi, Meshal Alshammari, Paul W. Eloe
Mathematics Faculty Publications

PDF

Mittag–Leffler Stability of Systems of Fractional Nabla Difference Equations, Paul W. Eloe, Jaganmohan Jonnalagadda
Mathematics Faculty Publications

PDF

Topology of Fractals, Amelia Pompilio
Honors Theses

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The Number of Fixed Points of AND-OR Networks with Chain Topology, Lauren Geiser
Honors Theses

PDF

The Large Contraction Principle and Existence of Periodic Solutions for Infinite Delay Volterra Difference Equations, Paul W. Eloe, Jaganmohan Jonnalagadda, Youssef Raffoul
Mathematics Faculty Publications

PDF

Avery Fixed Point Theorem Applied to a Hammerstein Integral Equation, Paul W. Eloe, Jeffrey T. Neugebauer
Mathematics Faculty Publications

PDF

Quasilinearization and Boundary Value Problems for Riemann-Liouville Fractional Differential Equations, Paul W. Eloe, Jaganmohan Jonnalagadda
Mathematics Faculty Publications

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Comparison of Green's Functions for a Family of Boundary Value Problems for Fractional Difference Equations, Paul W. Eloe, Catherine Kublik, Jeffrey T. Neugebauer
Mathematics Faculty Publications

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Quasilinearization and Boundary Value Problems at Resonance for Caputo Fractional Differential Equations, Saleh S. Almuthaybiri, Paul W. Eloe, Jeffrey T. Neugebauer
Mathematics Faculty Publications

PDF

2018

Probabilistic Modeling of Student Interactions during a Passing Period at the University of Dayton, Allyson Pacifico
Honors Theses

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Uniform Asymptotic Stability in Nonlinear Volterra Discrete Systems, Muhammad Islam, Youssef Raffoul, Paul W. Eloe
Paul W. Eloe

Stability Properties and Integrability of the Resolvent of Linear Volterra Equations, Muhammad Islam, Paul W. Eloe
Paul W. Eloe

Periodic Solutions of Linear Integrodifferential Equations, Muhammad Islam, T. A. Burton, Paul W. Eloe
Paul W. Eloe

Periodic Solutions of Nonlinear Integral Equations With Infinite Memory, Muhammad Islam, Paul W. Eloe
Paul W. Eloe

Nonlinear Integrodifferential Equations and A Priori Bounds on Periodic Solutions, Muhammad Islam, T. A. Burton, Paul W. Eloe
Paul W. Eloe

Uniform Asymptotic Stability in Linear Volterra Integrodifferential Equations with Application to Delay Systems, Muhammad Islam, Paul W. Eloe, Bo Zhang
Paul W. Eloe

Bounded Solutions of Almost Linear Volterra Equations, Muhammad Islam, Youssef Raffoul
Youssef N. Raffoul

Periodic and Asymptotically Periodic Solutions in Coupled Nonlinear Systems of Volterra Integro-differential Equations, Muhammad Islam, Youssef Raffoul
Youssef N. Raffoul

Exponential Stability in Nonlinear Difference Equations, Muhammad Islam, Youssef Raffoul
Youssef N. Raffoul

Uniform Asymptotic Stability in Nonlinear Volterra Discrete Systems, Muhammad Islam, Youssef Raffoul, Paul W. Eloe
Youssef N. Raffoul

Periodic Solutions of Neutral Nonlinear Systems of Differential Equations with Functional Delay, Muhammad Islam, Youssef Raffoul
Youssef N. Raffoul

Lyapunov Functionals that Lead to Exponential Stability and Instability in Finite Delay Volterra Difference Equations, Catherine Kublik, Youssef Raffoul
Youssef N. Raffoul

Stability Properties of Linear Volterra Integrodifferential Equations with Nonlinear Perturbation, Muhammad Islam, Youssef Raffoul
Youssef N. Raffoul

Uniqueness of Solutions of Boundary Value Problems at Resonance, Jabr Aljedani, Paul W. Eloe
Mathematics Faculty Publications

When Numerical Analysis Crosses Paths with Catalan and Generalized Motzkin Numbers, Paul W. Eloe, Catherine Kublik
Mathematics Faculty Publications

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Concavity in Fractional Calculus, Paul W. Eloe, Jeffrey T. Neugebauer
Mathematics Faculty Publications

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Initial value problems for Caputo fractional differential equations, Paul W. Eloe, Tyler Masthay
Mathematics Faculty Publications

PDF

Generalized Catalan Numbers And Objects: X; Y Equivalence Classes And Polyominoes, Emily S. Dautenhahn, Hannah E. Pieper
Undergraduate Mathematics Day: Past Content

PDF

Mathematics with Only Rods, Jianqiao Mao, Zheng Yang
Undergraduate Mathematics Day: Past Content

PDF

How One’s Risk Preferences Affect Their Investment Decisions, Kari Hayes, Anna Petrick
Undergraduate Mathematics Day: Past Content

PDF

Alcoholism: A Mathematical Model with Media Awareness Campaigns, Erik H. Ander, Zeynep Teymuroglu
Undergraduate Mathematics Day: Past Content

PDF

Finite Sum Representations of Elements in R and R2, Lewis T. Dominguez, Rachelle R. Bouchat
Undergraduate Mathematics Day: Past Content

PDF

Magic Polygons and Their Properties, Victoria Jakicic, Rachelle Bouchat
Undergraduate Mathematics Day: Past Content

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Baseball: Defense or No?, Jacob D. Stemmerich
Undergraduate Mathematics Day: Past Content

PDF

2017

Math Department Newsletter, 2017, University of Dayton. Department of Mathematics
Department of Mathematics Newsletters

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Uncountable Discrete Sets and Forcing, Akira Iwasa
Summer Conference on Topology and Its Applications

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Quantale-Valued Gauge Groups and Approach Convergence Transformation Groups, T.M.G. Ahsanullah
Summer Conference on Topology and Its Applications

QH-Singularity of Quasi-Uniform Spaces, Tom Vroegrijk
Summer Conference on Topology and Its Applications

Braid Group Actions on Rational Maps, Eriko Hironaka, Sarah Koch
Summer Conference on Topology and Its Applications

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Dense Subsets of Function Spaces with No Non-Trivial Convergent Sequences, Vladimir V. Tkachuk
Summer Conference on Topology and Its Applications

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Order, Distance, Closure and Convergence: Reconciling Competing Fundamental Topological Concepts, Walter Tholen
Summer Conference on Topology and Its Applications

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Which Topological Groups Arise as Automorphism Groups of Locally Finite Graphs?, Xiao Chang, Paul Gartside
Summer Conference on Topology and Its Applications

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Topology and Order, Tom Richmond
Summer Conference on Topology and Its Applications

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Extension Theorems for Large Scale Spaces via Neighbourhood Operators, Thomas Weighill, Jerzy Dydak
Summer Conference on Topology and Its Applications

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On Cohomological Dimensions of Remainders of Stone-Čech Compactifications, Vladimer Baladze
Summer Conference on Topology and Its Applications

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On the Lindelöf Σ-Property and Some Related Conclusions, Reynaldo Rojas-Hernandez, Fidel Casarrubias-Segura, Salvador Garcia-Ferreira
Summer Conference on Topology and Its Applications

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Relationships between Hereditary Sobriety, Sobriety, TD, T1, and Locally Hausdorff, Stephen Rodabaugh, Jeffrey T. Denniston, Austin Melton, Jamal K. Tartir
Summer Conference on Topology and Its Applications

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Compactly Supported Homeomorphisms as Long Direct Limits, Rafael Dahmen, Gábor Lukács
Summer Conference on Topology and Its Applications

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Enriched Topology and Asymmetry, Stephen Rodabaugh, Jeffrey T. Denniston, Austin Melton
Summer Conference on Topology and Its Applications

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Fiber Strong Shape Theory for Topological Spaces, Ruslan Tsinaridze, Vladimer Baladze
Summer Conference on Topology and Its Applications

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Quotients of n-fold Hyperspaces, Sergio Macías, Javier Camargo
Summer Conference on Topology and Its Applications

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Lifting Homeomorphisms of Cyclic Branched Covers of the Sphere, Rebecca R. Winarski, Tyrone Ghaswala
Summer Conference on Topology and Its Applications

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Aperiodic Colorings and Dynamics, Ramon Barral Lijo, Jesús A. Álvarez López
Summer Conference on Topology and Its Applications

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Rigidity and Nonrigidity of Corona Algebras, Paul McKenney, Alessandro Vignati
Summer Conference on Topology and Its Applications

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On Cardinality Bounds Involving the Weak Lindelöf Degree and H-Closed Spaces, Nathan Carlson, Angelo Bella, Jack Porter
Summer Conference on Topology and Its Applications

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Classifying Matchbox Manifolds, Olga Lukina
Summer Conference on Topology and Its Applications

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The Isbell-hull of an Asymmetrically Normed Space, Olivier Olela Otafudu, Jurie Conradie, Hans-Peter Künzi
Summer Conference on Topology and Its Applications

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Virtual Seifert Surfaces and Slice Obstructions For Knots in Thickened Surfaces, Micah Chrisman, Hans U. Boden, Robin Gaudreau
Summer Conference on Topology and Its Applications

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Sequential Decreasing Strong Size Properties, Miguel A. Lara, Fernando Orozco, Felix Capulín
Summer Conference on Topology and Its Applications

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Balanced and Functionally Balanced P-Groups, Menachem Shlossberg
Summer Conference on Topology and Its Applications

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Domains and Probability Measures: A Topological Retrospective, Michael Mislove
Summer Conference on Topology and Its Applications

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Generic Approximation and Interpolation by Entire Functions via Restriction of the Values of the Derivatives, Maxim R. Burke
Summer Conference on Topology and Its Applications

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On Continua with Regular Non-abelian Self Covers, Mathew Timm
Summer Conference on Topology and Its Applications

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Locally Compact Groups: Traditions and Trends, Karl Heinrich Hofmann, Wolfgang Herfort, Francesco G. Russo
Summer Conference on Topology and Its Applications

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On the Axiomatic Systems of Steenrod Homology Theory of Compact Spaces, Leonard Mdzinarishvili, Anzor Beridze
Summer Conference on Topology and Its Applications

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Entropy of Induced Continuum Dendrite Homeomorphisms, Jennyffer Bohorquez, Alexander Arbieto
Summer Conference on Topology and Its Applications

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A Trace Formula for Foliated Flows (working paper), Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnam
Summer Conference on Topology and Its Applications

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Properties of Weak Domain Representable Spaces, Joe Mashburn
Summer Conference on Topology and Its Applications

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Relationships between Topological Properties of X and Algebraic Properties of Intermediate Rings A(X), Joshua Sack
Summer Conference on Topology and Its Applications

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Normal Images of a Product and Countably Paracompact Condensation, Jila Niknejad
Summer Conference on Topology and Its Applications

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The Specification Property and Infinite Entropy for Certain Classes of Linear Operators, James Kelly, Will Brian, Tim Tennant
Summer Conference on Topology and Its Applications

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Spaces with No S or L Subspaces, Joan Hart, Kenneth Kunen
Summer Conference on Topology and Its Applications

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Liouville Numbers and One-sided Ergodic Hilbert Transformations, David Constantine, Joanna Furno
Summer Conference on Topology and Its Applications

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Topologically Homogeneous Continua, Isometrically Homogeneous Continua, and the Pseudo-Arc, Janusz Prajs
Summer Conference on Topology and Its Applications

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Shift Maps and Their Variants on Inverse Limits with Set-Valued Functions, Judy Kennedy, Kazuhiro Kawamura, Van Nall, Goran Erceg
Summer Conference on Topology and Its Applications

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A Compact Minimal Space Whose Cartesian Square Is Not Minimal, Jan P. Boronski, Alex Clark, Piotr Oprocha
Summer Conference on Topology and Its Applications

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Some Applications of the Point-Open Subbase Game, David Guerrero Sanchez
Summer Conference on Topology and Its Applications

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Entropy in Topological Groups, Part 1, Dikran Dikranjan
Summer Conference on Topology and Its Applications

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Entropy in Topological Groups, Part 2, Dikran Dikranjan
Summer Conference on Topology and Its Applications

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On Product Stability of Asymptotic Property C, Gregory C. Bell, Andrzej Nagórko
Summer Conference on Topology and Its Applications

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A New Class of Dendrites Having Unique Second Symmetric Product, David Maya, José G. Anaya, Fernando Orozco Zitli
Summer Conference on Topology and Its Applications

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On Quasi-Uniform Box Products, Hope Sabao, Olivier Olela Otafudu
Summer Conference on Topology and Its Applications

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On the Tightness and Long Directed Limits of Free Topological Algebras, Gábor Lukács, Rafael Dahmen
Summer Conference on Topology and Its Applications

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Pseudo-Contractibility, Felix Capulín, Leonardo Juarez-Villa, Fernando Orozco
Summer Conference on Topology and Its Applications

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Topology and Experimental Distinguishability, Gabriele Carcassi, Christine A. Aidala, David J. Baker, Mark J. Greenfield
Summer Conference on Topology and Its Applications

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Interpolation Sets in Compact Groups, Luis Tárrega, Salvador Hernandez, Maria V. Ferrer
Summer Conference on Topology and Its Applications

Uncountably Many Quasi-Isometry Classes of Groups of Type FP, Ignat Soroko, Robert Kropholler, Ian Leary
Summer Conference on Topology and Its Applications

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On Roitman's Principle for Box Products, Hector Alonso Barriga-Acosta
Summer Conference on Topology and Its Applications

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Hausdorff Dimension of Kuperberg Minimal Sets, Daniel Ingbretson
Summer Conference on Topology and Its Applications

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Some New Completeness Properties in Topological Spaces, Cetin Vural, Süleyman Önal
Summer Conference on Topology and Its Applications

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On the Chogoshvili Homology Theory of Continuous Maps of Compact Spaces, Anzor Beridze, Vladimer Baladze
Summer Conference on Topology and Its Applications

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Sequential Order of Compact Scattered Spaces, Alan Dow
Summer Conference on Topology and Its Applications

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Totally Geodesic Surfaces in Arithmetic Hyperbolic 3-Manifolds, Benjamin Linowitz, Jeffrey S. Meyer
Summer Conference on Topology and Its Applications

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Compactness via Adherence Dominators, Bhamini M. P. Nayar, Terrence A. Edwards, James E. Joseph, Myung H. Kwack
Summer Conference on Topology and Its Applications

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Revelation of Nano Topology in Cech Rough Closure Spaces, V. Antonysamy, Llellis Thivagar, Arockia Dasan
Summer Conference on Topology and Its Applications

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Disjoint Infinity Borel Functions, Daniel Hathaway
Summer Conference on Topology and Its Applications

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On Di-injective T0-Quasi-metric Spaces, Collins Amburo Agyingi
Summer Conference on Topology and Its Applications

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On a Construction of Some Class of Metric Spaces, Dariusz Bugajewski
Summer Conference on Topology and Its Applications

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Cohen Reals and the Sequential Order of Groups, Alexander Shibakov
Summer Conference on Topology and Its Applications

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Conference Program, University of Dayton
Summer Conference on Topology and Its Applications

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Extending Uniqueness Implies Existence Results to Fractional Differential Equations, Tyler Masthay
Honors Theses

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Positive solutions of boundary value problems for ordinary differential equations with dependence on higher order derivatives, Ahlam Abid, Paul Eloe
Mathematics Faculty Publications

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2016

Integration Over Curves and Surfaces Defined by the Closest Point Mapping, Catherine Kublik, Richard Tsai
Mathematics Faculty Publications

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Convolutions and Green’s Functions for Two Families of Boundary Value Problems for Fractional Differential Equations, Paul W. Eloe, Jeffrey T. Neugebauer
Mathematics Faculty Publications

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Effects of Cell Cycle Noise on Excitable Gene Circuits, Alan Veliz-Cuba, Chinmaya Gupta, Matthew R. Bennett, Krešimir Josić, William Ott
Mathematics Faculty Publications

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Identification of Control Targets in Boolean Molecular Network Models via Computational Algebra, David Murrugarra, Alan Veliz-Cuba, Boris Aguilar, Reinhard Laubenbacher
Mathematics Faculty Publications

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Optimal Control Analysis of Ebola Disease with Control Strategies of Quarantine and Vaccination, Muhammad Dure Ahmad, Muhammad Usman, Adnan Khan, Mudassar Imran
Mathematics Faculty Publications

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Theorems on Boundedness of Solutions to Stochastic Delay Differential Equations, Youssef Raffoul, Dan Ren
Mathematics Faculty Publications

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Math Department Newsletter, 2016, University of Dayton. Department of Mathematics
Department of Mathematics Newsletters

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Upper and Lower Solution Method for Boundary Value Problems at Resonance, Samerah Al Mosa, Paul W. Eloe
Mathematics Faculty Publications

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Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals, Youssef Raffoul, Habib Rai
Mathematics Faculty Publications

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2016 (Spring), University of Dayton. Department of Mathematics
Colloquia

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Coding Strategies, the Choquet Game and Domain Representability, Lynne Yengulalp
Mathematics Faculty Publications

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Domain Representability and Topological Completeness, Matthew D. DeVilbiss
Honors Theses

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Smallest Eigenvalues for a Right Focal Boundary Value Problem, Paul W. Eloe, Jeffrey T. Neugebauer
Mathematics Faculty Publications

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Asymptotically Periodic Solutions of Volterra Integral Equations, Muhammad Islam
Mathematics Faculty Publications

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Nonlinear Interpolation and Boundary Value Problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications