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
