#### Submissions from 2017

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

Asymptotically Periodic Solutions of Volterra Integral Equations, Muhammad Islam

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

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

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

#### Submissions from 2015

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

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

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

#### Submissions from 2012

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

#### Submissions from 2011

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 and Muhammad Usman

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

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

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

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

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

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 2005

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 2003

Exponential Stability in Nonlinear Difference Equations, Muhammad Islam and Youssef Raffoul

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

#### Submissions from 2000

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

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

#### Submissions from 1999

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

#### Submissions from 1998

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

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

#### Submissions from 1997

Almost Periodic Solutions of Nonlinear Integral Equations, Muhammad Islam

#### Submissions from 1995

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

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

#### Submissions from 1993

On Infinite Delay Integral Equations Having Nonlinear Perturbations, Muhammad Islam

#### Submissions from 1992

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

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

#### Submissions from 1991

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

#### Submissions from 1990

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

#### Submissions from 1989

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

Pixley-Roy Hyperspaces of ω-graphs, Joe Mashburn

#### Submissions from 1988

Periodic Solutions of Nonlinear Integral Equations, Muhammad Islam

Periodic Solutions of Volterra Integral Equations, Muhammad Islam

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

#### Submissions from 1984

A Note on Irreducibility and Weak Covering Properties, Joe Mashburn

#### Submissions from 1983

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

#### Submissions from 1981

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

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