#### Submissions from 2018

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

#### Submissions from 2017

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

Eigenstate–Specific Temperatures in Two–Level Paramagnetic Spin Lattices, Mark Masthay, Calley N. Eads, Amber N. Johnson, R. Gerald Keil, Phillip Miller, Ross E. Jones, Joe D. Mashburn, and Harry B. Fannin

#### Submissions from 2016

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

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

Upper and Lower Solution Method for Boundary Value Problems at Resonance, Samerah Al Mosa and Paul W. Eloe (0000-0002-6590-9931)

Positive Solutions for a Singular Fourth Order Nonlocal Boundary Value Problem, John M. Davis, Paul W. Eloe (0000-0002-6590-9931), John R. Graef, and Johnny Henderson

Nonlinear Interpolation and Boundary Value Problems, Paul W. Eloe (0000-0002-6590-9931) and Johnny Henderson

Convolutions and Green’s Functions for Two Families of Boundary Value Problems for Fractional Differential Equations, Paul W. Eloe (0000-0002-6590-9931) and Jeffrey T. Neugebauer

Smallest Eigenvalues for a Right Focal Boundary Value Problem, Paul W. Eloe (0000-0002-6590-9931) and Jeffrey T. Neugebauer

Modeling Factors Contributing to Injury and Fatality of Run-off-Road Crashes in Ohio, Deogratias Eustace, Omar Eid Almutairi, and Peter W. Hovey

Asymptotically Periodic Solutions of Volterra Integral Equations, Muhammad Islam

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

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

Sphere Representations, Stacked Polytopes, and the Colin de Verdière Number of a Graph, Lon Mitchell and Lynne Yengulalp

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

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

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

Theorems on Boundedness of Solutions to Stochastic Delay Differential Equations, Youssef Raffoul and Dan Ren

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

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

Coding Strategies, the Choquet Game and Domain Representability, Lynne Yengulalp

#### Submissions from 2015

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

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

From Subcompact to Domain Representable, William Fleissner and Lynne Yengulalp

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

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

Sobriety in Delta not Sober, Joe Mashburn

#### Submissions from 2014

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

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

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

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

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

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

#### Submissions from 2013

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

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

Every Scattered Space is Subcompact, William Fleissner, Vladimir Tkachuk, and Lynne Yengulalp

When Cp(X) is Domain Representable, William Fleissner and Lynne Yengulalp

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

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, and Muhammad Usman

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

A Spectral Order for Infinite Dimensional Quantum Spaces, Joe Mashburn

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

#### Submissions from 2012

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

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

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

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

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, and Rahmat Ali Khan

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

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

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

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

Bifurcations in Steady State Solutions of a Class of Nonlinear Dispersive Wave Equation, Muhammad Usman and Paul W. Eloe (0000-0002-6590-9931)

#### Submissions from 2011

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

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

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

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, and David K. Pugalee

Fully Nonlinear Boundary Value Problems with Impulse, Paul Eloe (0000-0002-6590-9931) and Muhammad Usman

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

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

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

Non-Normality Points of β X\X, William Fleissner and Lynne Yengulalp

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

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, and Robin L. Angotti

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

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, and Bingyu Zhang

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

#### Submissions from 2010

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

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

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

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

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

Linearly Ordered Topological Spaces and Weak Domain Representability, Joe Mashburn

Coarser Connected Metrizable Topologies, Lynne Yengulalp

#### Submissions from 2009

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

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

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

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

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

Coarser Connected Topologies and Non-Normality Points, Lynne Yengulalp

#### Submissions from 2008

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

Qualitative Properties of Nonlinear Volterra Integral Equations, Muhammad Islam and Jeffrey T. Neugebauer

An Order Model for Infinite Classical States, Joe Mashburn

#### Submissions from 2007

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

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

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

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

A Comparison of Three Topologies on Ordered Sets, Joe Mashburn

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

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

#### Submissions from 2006

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

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

#### Submissions from 2005

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

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

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

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

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

#### Submissions from 2004

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

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

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