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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Almost Automorphic Solutions of Delayed Neutral Dynamic Systems on Hybrid Domains, Murat Adıvar, Halis Can Koyuncuoğlu, Youssef Raffoul
Mathematics Faculty Publications

Stochastic Models of Evidence Accumulation in Changing Environments, Alan Veliz-Cuba, Zachary P. Kilpatrick, Krešimir Josić
Mathematics Faculty Publications

Necessary and Sufficient Conditions for Stability of Volterra Integro-dynamic Equation Systems on Time Scales, Youssef Raffoul
Mathematics Faculty Publications

Existence of Periodic Solutions for a Quantum Volterra Equation, Muhammad Islam, Jeffrey T. Neugebauer
Mathematics Faculty Publications

From Subcompact to Domain Representable, William Fleissner, Lynne Yengulalp
Mathematics Faculty Publications

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

An Implicit Interface Boundary Integral Method for Poisson’s Equation on Arbitrary Domains, Catherine Kublik, Nicolay M. Tanushev, Richard Tsai
Catherine Kublik

Algorithms for Area Preserving Flows, Catherine Kublik, Selim Esedoglu, Jeffrey A. Fessler
Catherine Kublik

Coarsening in High Order, Discrete, Ill-Posed Diffusion Equations, Catherine Kublik
Catherine Kublik

A Comparison of Three Topologies on Ordered Sets, Joe Mashburn
Joe D. Mashburn

A Note on Reordering Ordered Topological Spaces and the Existence of Continuous, Strictly Increasing Functions, Joe Mashburn
Joe D. Mashburn

An Order Model for Infinite Classical States, Joe Mashburn
Joe D. Mashburn

A Spectral Order for Infinite Dimensional Quantum Spaces, Joe Mashburn
Joe D. Mashburn

Three Counterexamples Concerning ω-Chain Continuous Functions and Fixed-point Properties, Joe Mashburn
Joe D. Mashburn

A Spectral Order for Infinite Dimensional Quantum Spaces: A Preliminary Report, Joe Mashburn
Joe D. Mashburn

Linearly Ordered Topological Spaces and Weak Domain Representability, Joe Mashburn
Joe D. Mashburn

OIF Spaces, Zoltan Balogh, Harold Bennett, Dennis Burke, Gary Gruenhage, David Lutzer, Joe D. Mashburn
Joe D. Mashburn

The Least Fixed Point Property for ω-chain Continuous Functions, Joe Mashburn
Joe D. Mashburn

On The Decomposition of Order-separable Posets of Countable Width into Chains, Gary Gruenhage, Joe Mashburn
Joe D. Mashburn

Dissertation: The Least Fixed Point Property for ω-chain Continuous Functions, Joe Mashburn
Joe D. Mashburn

Sobriety in Delta not Sober, Joe Mashburn
Joe D. Mashburn

Countable Covers of Spaces by Migrant Sets, Zoltan Balogh, Joe Mashburn, Peter Nyikos
Joe D. Mashburn

A Note on Irreducibility and Weak Covering Properties, Joe Mashburn
Joe D. Mashburn

Pixley-Roy Hyperspaces of ω-graphs, Joe Mashburn
Joe D. Mashburn

Prospective Teachers' Use of Representations in Solving Statistical Tasks with Dynamic Statistical Software, Hollylynne Lee, Shannon O. Driskell, Suzanne R. Harper, Keith R. Leatham, Gladis Kersaint, Robin L. Angotti
Shannon O.S. Driskell

Research in Mathematics Educational Technology: Current Trends and Future Demands, Shannon O. Driskell, Robert N. Ronau, Christopher R. Rakes, Sarah B. Bush, Margaret L. Niess, David K. Pugalee
Shannon O.S. Driskell

Fully Nonlinear Boundary Value Problems with Impulse, Paul Eloe, Muhammad Usman
Muhammad Usman

Forced Oscillations of the Korteweg-de Vries Equation on a Bounded Domain and their Stability, Muhammad Usman, Bingyu Zhang
Muhammad Usman

A Generalization of Poincaré-Cartan Integral Invariants of a Nonlinear Nonholonomic Dynamical System, Muhammad Usman, M. Imran
Muhammad Usman

Eventual Periodicity of Forced Oscillations of Korteweg-de Vries Type Equation, Rahmat Ali Khan, Muhammad Usman
Muhammad Usman

Bifurcations in Steady State Solutions of a Class of Nonlinear Dispersive Wave Equation, Paul Eloe, Muhammad Usman
Muhammad Usman

Modified Homotopy Perturbation Transform Method: A Paradigm for Nonlinear Boundary Layer Problems, Yasir Khan, Muhammad Usman
Muhammad Usman

Forced Oscillations of a Class of Nonlinear Dispersive Wave Equations and their Stability, Muhammad Usman, Bingyu Zhang
Muhammad Usman

A Meshless Numerical Solution of the Family of Generalized Fifth-order Korteweg-de Vries Equations, Syed Tauseef Mohyud-Din, Elham Negahdary, Muhammad Usman
Muhammad Usman

A study of the GAM approach to solve laminar boundary layer equations in the presence of a wedge, Rahmat Khan, Muhammad Usman
Muhammad Usman

Global Well-posedness and Asymptotic Behavior of a Class of Initial-boundary-value Problems of the KdV Equation on a Finite Domain, Ivonne Rivas, Muhammad Usman, Bingyu Zhang
Muhammad Usman

A New Undergraduate Curriculum on Mathematical Biology at University of Dayton, Muhammad Usman, Amit Singh
Muhammad Usman

The Effects of Variable Viscosity on the Peristaltic Flow of Non-Newtonian Fluid through a Porous Medium in an Inclined Channel with Slip Boundary Conditions, Ambreen Afsar Khan, R. Ellahi, Muhammad Usman
Muhammad Usman

A New Undergraduate Curriculum on Mathematical Biology at University of Dayton, Muhammad Usman, Amit Singh
Amit Singh

Fully Nonlinear Boundary Value Problems with Impulse, Paul Eloe, Muhammad Usman
Paul W. Eloe

Bifurcations in Steady State Solutions of a Class of Nonlinear Dispersive Wave Equation, Paul Eloe, Muhammad Usman
Paul W. Eloe

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

Comparison of Re-sampling Methods to Generalized Linear Models and Transformations in Factorial and Fractional Factorial Designs, Maher Qumsiyeh, Gerald Shaughnessy
Maher Qumsiyeh

Using the Bootstrap for Estimating the Sample Size in Statistical Experiments, Maher Qumsiyeh
Maher Qumsiyeh

Exponential stability in functional dynamic equations on time scales, Elvan Akin, Youssef Raffoul, Christopher Tisdell
Youssef N. Raffoul

Boundedness in Functional Dynamic Equations on Time Scales, Elvan Akin, Youssef N. Raffoul
Youssef N. Raffoul

Qualitative Theory of Functional Differential and Integral Equations, Muhammad Islam, Cemil Tunc, Mouffak Benchohra, Bingwen Lui, Samir H. Saker
Mathematics Faculty Publications

Bounded, Asymptotically Stable, and L^1 Solutions of Caputo Fractional Differential Equations, Muhammad Islam
Mathematics Faculty Publications

Sobriety in Delta not Sober, Joe Mashburn
Mathematics Faculty Publications

Modified Homotopy Perturbation Transform Method: A Paradigm for Nonlinear Boundary Layer Problems, Yasir Khan, Muhammad Usman
Mathematics Faculty Publications

Periodic and Asymptotically Periodic Solutions in Coupled Nonlinear Systems of Volterra Integro-differential Equations, Muhammad Islam, Youssef Raffoul
Mathematics Faculty Publications

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

A Generalization of Poincaré-Cartan Integral Invariants of a Nonlinear Nonholonomic Dynamical System, Muhammad Usman, M. Imran
Mathematics Faculty Publications

A Spectral Order for Infinite Dimensional Quantum Spaces, Joe Mashburn
Mathematics Faculty Publications

Three Fixed Point Theorems: Periodic Solutions of a Volterra Type Integral Equation with Infinite Heredity, Muhammad Islam
Mathematics Faculty Publications

An Implicit Interface Boundary Integral Method for Poisson’s Equation on Arbitrary Domains, Catherine Kublik, Nicolay M. Tanushev, Richard Tsai
Mathematics Faculty Publications

The Effects of Variable Viscosity on the Peristaltic Flow of Non-Newtonian Fluid through a Porous Medium in an Inclined Channel with Slip Boundary Conditions, Ambreen Afsar Khan, R. Ellahi, Muhammad Usman
Mathematics Faculty Publications

Eventual Periodicity of Forced Oscillations of Korteweg-de Vries Type Equation, Rahmat Ali Khan, Muhammad Usman
Mathematics Faculty Publications

Bounded Solutions of Almost Linear Volterra Equations, Muhammad Islam, Youssef Raffoul
Mathematics Faculty Publications

A Meshless Numerical Solution of the Family of Generalized Fifth-order Korteweg-de Vries Equations, Syed Tauseef Mohyud-Din, Elham Negahdary, Muhammad Usman
Mathematics Faculty Publications

A study of the GAM approach to solve laminar boundary layer equations in the presence of a wedge, Rahmat Ali Khan, Muhammad Usman
Mathematics Faculty Publications

Bifurcations in Steady State Solutions of a Class of Nonlinear Dispersive Wave Equation, Muhammad Usman, Paul W. Eloe
Mathematics Faculty Publications

A New Undergraduate Curriculum on Mathematical Biology at University of Dayton, Muhammad Usman, Amit Singh
Mathematics Faculty Publications

Global Well-posedness and Asymptotic Behavior of a Class of Initial-boundary-value Problems of the KdV Equation on a Finite Domain, Ivonne Rivas, Muhammad Usman, Bingyu Zhang
Mathematics Faculty Publications

Algorithms for Area Preserving Flows, Catherine Kublik, Selim Esedoglu, Jeffrey A. Fessler
Mathematics Faculty Publications

Research in Mathematics Educational Technology: Current Trends and Future Demands, Shannon O. Driskell, Robert N. Ronau, Christopher R. Rakes, Sarah B. Bush, Margaret L. Niess, David K. Pugalee
Mathematics Faculty Publications

Prospective Teachers' Use of Representations in Solving Statistical Tasks with Dynamic Statistical Software, Hollylynne Lee, Shannon O. Driskell, Suzanne R. Harper, Keith R. Leatham, Gladis Kersaint, Robin L. Angotti
Mathematics Faculty Publications

Fully Nonlinear Boundary Value Problems with Impulse, Paul Eloe, Muhammad Usman
Mathematics Faculty Publications

Periodic Solutions of Neutral Delay Integral Equations of Advanced Type, Muhammad Islam, Nasrin Sultana, James Booth
Mathematics Faculty Publications

Coarsening in High Order, Discrete, Ill-Posed Diffusion Equations, Catherine Kublik
Mathematics Faculty Publications

Linearly Ordered Topological Spaces and Weak Domain Representability, Joe Mashburn
Mathematics Faculty Publications

Forced Oscillations of the Korteweg-de Vries Equation on a Bounded Domain and their Stability, Muhammad Usman, Bingyu Zhang
Mathematics Faculty Publications

Qualitative Properties of Nonlinear Volterra Integral Equations, Muhammad Islam, Jeffrey T. Neugebauer
Mathematics Faculty Publications

An Order Model for Infinite Classical States, Joe Mashburn
Mathematics Faculty Publications

Periodic Solutions of Neutral Nonlinear Systems of Differential Equations with Functional Delay, Muhammad Islam, Youssef Raffoul
Mathematics Faculty Publications

Forced Oscillations of a Class of Nonlinear Dispersive Wave Equations and their Stability, Muhammad Usman, Bingyu Zhang
Mathematics Faculty Publications

A Spectral Order for Infinite Dimensional Quantum Spaces: A Preliminary Report, Joe Mashburn
Mathematics Faculty Publications

A Comparison of Three Topologies on Ordered Sets, Joe Mashburn
Mathematics Faculty Publications

Boundedness and Stability in Nonlinear Delay Difference Equations Employing Fixed Point Theory, Muhammad Islam, Ernest Yankson
Mathematics Faculty Publications

Stability Properties of Linear Volterra Integrodifferential Equations with Nonlinear Perturbation, Muhammad Islam, Youssef Raffoul
Mathematics Faculty Publications

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

Exponential Stability in Nonlinear Difference Equations, Muhammad Islam, Youssef Raffoul
Mathematics Faculty Publications

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

OIF Spaces, Zoltan Balogh, Harold Bennett, Dennis Burke, Gary Gruenhage, David Lutzer, Joe D. Mashburn
Mathematics Faculty Publications

On The Decomposition of Order-separable Posets of Countable Width into Chains, Gary Gruenhage, Joe Mashburn
Mathematics Faculty Publications

Refracting System for Annular Gaussian-to-Bessel Beam Transformation, Muhammad Arif, Meer M. Hossain, Abdul Ahad S. Awwal, Muhammad Islam
Mathematics Faculty Publications

Two-Element Refracting System for Annular Gaussian-to-Bessel Beam Transformation, Muhammad Arif, Meer M. Hossain, Abdul Ahad S. Awwal, Muhammad Islam
Mathematics Faculty Publications

Almost Periodic Solutions of Nonlinear Integral Equations, Muhammad Islam
Mathematics Faculty Publications

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

A Note on Reordering Ordered Topological Spaces and the Existence of Continuous, Strictly Increasing Functions, Joe Mashburn
Mathematics Faculty Publications

On Infinite Delay Integral Equations Having Nonlinear Perturbations, Muhammad Islam
Mathematics Faculty Publications

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

Modified Signed-Digit Trinary Arithmetic Using Optical Symbolic Substitution, Muhammad Islam, A. A. S. Awwal, Mohammad A. Karim
Mathematics Faculty Publications

Bounded Solutions and Periodic Solutions of Volterra Equations With Infinite Delay, Muhammad Islam
Mathematics Faculty Publications

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

Countable Covers of Spaces by Migrant Sets, Zoltan Balogh, Joe Mashburn, Peter Nyikos
Mathematics Faculty Publications

Pixley-Roy Hyperspaces of ω-graphs, Joe Mashburn
Mathematics Faculty Publications

Periodic Solutions of Nonlinear Integral Equations, Muhammad Islam
Mathematics Faculty Publications

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

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

A Note on Irreducibility and Weak Covering Properties, Joe Mashburn
Mathematics Faculty Publications

The Least Fixed Point Property for ω-chain Continuous Functions, Joe Mashburn
Mathematics Faculty Publications

Dissertation: The Least Fixed Point Property for ω-chain Continuous Functions, Joe Mashburn
Mathematics Faculty Publications

Three Counterexamples Concerning ω-Chain Continuous Functions and Fixed-point Properties, Joe Mashburn
Mathematics Faculty Publications