Faculty in the University of Dayton Department of Mathematics examine the art, science, application and philosophy of mathematics. Here, you can see a sampling of their research.

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Submissions from 1989

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

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

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

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Pixley-Roy Hyperspaces of ω-graphs, Joe Mashburn

Submissions from 1988

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

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

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

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

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Periodic Solutions of Nonlinear Integral Equations, Muhammad Islam

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Periodic Solutions of Volterra Integral Equations, Muhammad Islam

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Periodic Solutions of Nonlinear Integral Equations With Infinite Memory, Muhammad Islam and Paul W. Eloe (0000-0002-6590-9931)

Submissions from 1987

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

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

Submissions from 1986

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

Submissions from 1985

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

Submissions from 1984

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

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A Note on Irreducibility and Weak Covering Properties, Joe Mashburn

Submissions from 1983

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

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

Submissions from 1982

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

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

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

Submissions from 1981

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

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

Submissions from 1980

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

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