Part of the Mathematics Commons

Works by Paul W. Eloe in Mathematics

2021

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

A continuation of the discussion on cross symmetry of solutions, Paul W. Eloe, Qin Sheng
Paul W. Eloe

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

A boundary value problem on an unbounded domain, Paul W. Eloe, Louis J. Grimm, Joe D. Mashburn
Paul W. Eloe

A boundary value problem for a system of ordinary differential equations with impulse effects, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

A generalization of concavity for finite differences, Paul W. Eloe
Paul W. Eloe

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

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

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

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

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

A unique limiting Green's function for a class of singular boundary value problems, Paul W. Eloe, Eric R. Kaufmann
Paul W. Eloe

A singular boundary value problem for a right disfocal linear differential operator, Paul W. Eloe, Eric R. Kaufmann
Paul W. Eloe

A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations, Paul W. Eloe, Yongzhi Zhang
Paul W. Eloe

Differentiability with respect to boundary conditions and deviating argument for functional-differential systems, Jeffrey Ehme, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

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

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

Bifurcation from infinity and higher order ordinary differential equations, Joe Coyle, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

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

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

Comparison of eigenvalues for discrete Lidstone boundary value problems, John M. Davis, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Countable positive solutions of a conjugate boundary value problem, Paul W. Eloe, Johnny Henderson, Nickolai Kosmatov
Paul W. Eloe

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

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

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

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

Comparison of Green's functions for a family of multipoint boundary value problems, Paul W. Eloe, Lingqin Zhang
Paul W. Eloe

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

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

Focal point characterizations and comparisons for right focal differential operators, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Extremal points for impulsive Lidstone boundary value problems, Paul W. Eloe, Johnny Henderson, H. B. Thompson
Paul W. Eloe

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

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

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

Existence of solutions for 2nth order nonlinear generalized Sturm-Liouville boundary value problems, Jeffrey Ehme, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Existence of solutions for some singular higher order boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

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

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

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

Discrete Kiguradze type inequalities, John M. Davis, Paul W. Eloe
Paul W. Eloe

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

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

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

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

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

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

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

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

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

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

Inequalities for solutions of multipoint boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions, Bashir Ahmad, Rahmat Ali Khan, Paul W. Eloe
Paul W. Eloe

Inequalities based on a generalization of concavity, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Focal points and comparison theorems for a class of two-point boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Multipoint boundary value problems for functional differential equations, Paul W. Eloe, Johnny Henderson, Denise Taunton
Paul W. Eloe

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

Multipoint boundary value problems for ordinary differential systems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Multiple positive solutions for difference equations, Paul W. Eloe, Johnny Henderson, Eric R. Kaufmann
Paul W. Eloe

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

Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions, Paul W. Eloe, S. G. Hristova
Paul W. Eloe

Monotone methods and fourth order Lidstone boundary value problems with impulse effects, Paul W. Eloe, Muhammad N. Islam
Paul W. Eloe

Monotone and quadratic convergence of approximate solutions of ordinary differential equations with impulse, Vidya Doddaballapur, Paul W. Eloe
Paul W. Eloe

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

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

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

Positive solutions and J-focal points for two-point boundary value problems, Paul W. Eloe, Darrel Hankerson, Johnny Henderson
Paul W. Eloe

On nonresonance impulsive functional differential equations with periodic boundary conditions, Mouffak Benchohra, Paul W. Eloe
Paul W. Eloe

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

Positive solutions and nonlinear (k,n-k) conjugate eigenvalue problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

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

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

Pair differentiation, Paul W. Eloe, Stefan Hilger
Paul W. Eloe

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

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

Notes on crossed symmetry solutions of the two-point boundary value problems on time scales, Paul W. Eloe, Qin Sheng, Johnny Henderson
Paul W. Eloe

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

Nonlinear eigenvalue problems for higher order Lidstone boundary value problems, Paul W. Eloe
Paul W. Eloe

Positive solutions and nonlinear multipoint conjugate eigenvalue problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Positive solutions and conjugate points for multipoint boundary value problems, Paul W. Eloe, Darrel Hankerson, 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

Positive solutions for (n-1,1) conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Positive solutions and conjugate points for a boundary value problem with impulse, Paul W. Eloe, Michael Sokol
Paul W. Eloe

Positive solutions of boundary-value problems for disfocal ordinary differential equations, Paul W. Eloe
Paul W. Eloe

Singular nonlinear multipoint conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Singular nonlinear (k,n-k) conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Sign properties of Green's functions for a family of two-point boundary value problems, Paul W. Eloe, Jerry Ridenhour
Paul W. Eloe

Singular boundary value problems for quasi-differential equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Singular nonlinear (n-1,1) conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Sign properties of Green's functions for difference equations, Paul W. Eloe, Timothy Peil
Paul W. Eloe

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

Quadratic convergence of approximate solutions of two-point boundary value problems with impulse, Vidya Doddaballapur, Paul W. Eloe, Yongzhi Zhang
Paul W. Eloe

Positive solutions of boundary value problems for ordinary differential equations with impulse, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Positive solutions of nonlinear functional difference equations, Paul W. Eloe, Y. Raffoul, D. T. Reid, K. C. Yin
Paul W. Eloe

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

Right focal boundary value problems with impulse effects, Paul W. Eloe, Johnny Henderson, Tarique Khan
Paul W. Eloe

Positive solutions of three point boundary value problems, Paul W. Eloe, Janet McKelvey
Paul W. Eloe

Sign properties of Green's functions for disconjugate dynamic equations on time scales, Paul W. Eloe
Paul W. Eloe

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

Positive solutions for higher order ordinary differential equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

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

Positive solutions for two-point boundary value problems, Paul W. Eloe, Johnny Henderson, Patricia J. Y. Wong
Paul W. Eloe

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

Twin solutions for nonlinear multipoint conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

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

The quasilinearization method on an unbounded domain, Paul W. Eloe
Paul W. Eloe

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

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

Triple positive solutions for multipoint conjugate boundary value problems, John M. Davis, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

Triple positive solutions and dependence on higher order derivatives, John M. Davis, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

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

The method of quasilinearization and dynamic equations on compact measure chains, Paul W. Eloe
Paul W. Eloe

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

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

The convergence of iterative solutions to the electric field integral equation, Daniel D. Reuster, Gary A. Thiele, Paul W. Eloe
Paul W. Eloe

The fast Fourier transform method and ill-conditioned matrices, Boon Yi Soon, Paul W. Eloe, David Kammler
Paul W. Eloe

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

The quasilinearization method for boundary value problems on time scales, Ferhan M. Atici, Paul W. Eloe, Billur Kaymakçalan
Paul W. Eloe

The method of quasilinearization and a three-point boundary value problem, Paul W. Eloe, Yang Gao
Paul W. Eloe

Singular nonlinear boundary value problems for higher order ordinary differential equations, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

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

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, Rahmat Ali Khan
Paul W. Eloe

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

Upper and lower solution methods for fully nonlinear boundary value problems, Jeffrey Ehme, Paul W. Eloe, Johnny Henderson
Paul W. Eloe

2020

Quasilinearization Applied to Boundary Value Problems at Resonance for Riemann-Liouville Fractional Differential Equations, Paul W. Eloe, Jaganmohan Jonnalagadda
Mathematics Faculty Publications

PDF

Three Point Boundary Value Problems for Ordinary Differential Equations, Uniqueness Implies Existence, Paul W. Eloe, Johnny Henderson, Jeffrey T. Neugebauer
Mathematics Faculty Publications

PDF

Two-Point Boundary Value Problems for Ordinary Differential Equations, Uniqueness Implies Existence, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

2019

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

PDF

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

PDF

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

PDF

Avery Fixed Point Theorem Applied to a Hammerstein Integral Equation, Paul W. Eloe, Jeffrey T. Neugebauer
Mathematics Faculty Publications

PDF

Quasilinearization and Boundary Value Problems for Riemann-Liouville Fractional Differential Equations, Paul W. Eloe, Jaganmohan Jonnalagadda
Mathematics Faculty Publications

PDF

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

PDF

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

PDF

2018

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

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

Uniqueness of Solutions of Boundary Value Problems at Resonance, Jabr Aljedani, Paul W. Eloe
Mathematics Faculty Publications

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

PDF

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

PDF

Initial value problems for Caputo fractional differential equations, Paul W. Eloe, Tyler Masthay
Mathematics Faculty Publications

PDF

2016

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

PDF

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

PDF

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

PDF

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

PDF

2015

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

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

PDF

2014

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

PDF

Conjugate points for fractional differential equations, Paul W. Eloe, Jeffrey T. Neugebauer
Mathematics Faculty Publications

PDF

2013

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

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

PDF

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

PDF

2012

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

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

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, Rahmat Ali Khan
Mathematics Faculty Publications

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

PDF

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

PDF

2011

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

PDF

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

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

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

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

PDF

Linear systems of fractional nabla difference equations, Ferhan M. Atici, Paul W. Eloe
Mathematics Faculty Publications

PDF

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

PDF

2010

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

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

PDF

2009

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

Initial value problems in discrete fractional calculus, Ferhan M. Atici, Paul W. Eloe
Mathematics Faculty Publications

Discrete fractional calculus with the nabla operator, Ferhan M. Atici, Paul W. Eloe
Mathematics Faculty Publications

PDF

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

PDF

2008

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

PDF

2007

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

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

A transform method in discrete fractional calculus, Ferhan M. Atici, Paul W. Eloe
Mathematics Faculty Publications

PDF

2006

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

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

PDF

2005

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

PDF

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

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

PDF

2004

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

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

A note on quasilinearization for impulsive systems, Paul W. Eloe, S. G. Hristova
Mathematics Faculty Publications

2003

A continuation of the discussion on cross symmetry of solutions, Paul W. Eloe, Qin Sheng
Mathematics Faculty Publications

PDF

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

Disconjugacy and Higher Order Dynamic Equations, Paul W. Eloe
Books and Book Chapters by University of Dayton Faculty

Sign properties of Green's functions for disconjugate dynamic equations on time scales, Paul W. Eloe
Mathematics Faculty Publications

Pair differentiation, Paul W. Eloe, Stefan Hilger
Mathematics Faculty Publications

Notes on crossed symmetry solutions of the two-point boundary value problems on time scales, Paul W. Eloe, Qin Sheng, Johnny Henderson
Mathematics Faculty Publications

The quasilinearization method on an unbounded domain, Paul W. Eloe
Mathematics Faculty Publications

2002

Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions, Bashir Ahmad, Rahmat Ali Khan, Paul W. Eloe
Mathematics Faculty Publications

PDF

The quasilinearization method for boundary value problems on time scales, Ferhan M. Atici, Paul W. Eloe, Billur Kaymakçalan
Mathematics Faculty Publications

Upper and lower solution methods for fully nonlinear boundary value problems, Jeffrey Ehme, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

The method of quasilinearization and dynamic equations on compact measure chains, Paul W. Eloe
Mathematics Faculty Publications

The method of quasilinearization and a three-point boundary value problem, Paul W. Eloe, Yang Gao
Mathematics Faculty Publications

PDF

Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions, Paul W. Eloe, S. G. Hristova
Mathematics Faculty Publications

PDF

2001

Monotone methods and fourth order Lidstone boundary value problems with impulse effects, Paul W. Eloe, Muhammad N. Islam
Mathematics Faculty Publications

Existence of solutions for 2nth order nonlinear generalized Sturm-Liouville boundary value problems, Jeffrey Ehme, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

On nonresonance impulsive functional differential equations with periodic boundary conditions, Mouffak Benchohra, Paul W. Eloe
Mathematics Faculty Publications

The fast Fourier transform method and ill-conditioned matrices, Boon Yi Soon, Paul W. Eloe, David Kammler
Mathematics Faculty Publications

Positive solutions of nonlinear functional difference equations, Paul W. Eloe, Y. Raffoul, D. T. Reid, K. C. Yin
Mathematics Faculty Publications

2000

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

Extremal points for impulsive Lidstone boundary value problems, Paul W. Eloe, Johnny Henderson, H. B. Thompson
Mathematics Faculty Publications

Comparison of Green's functions for a family of multipoint boundary value problems, Paul W. Eloe, Lingqin Zhang
Mathematics Faculty Publications

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

Discrete Kiguradze type inequalities, John M. Davis, Paul W. Eloe
Mathematics Faculty Publications

A boundary value problem on an unbounded domain, Paul W. Eloe, Louis J. Grimm, Joe D. Mashburn
Mathematics Faculty Publications

Countable positive solutions of a conjugate boundary value problem, Paul W. Eloe, Johnny Henderson, Nickolai Kosmatov
Mathematics Faculty Publications

PDF

Nonlinear eigenvalue problems for higher order Lidstone boundary value problems, Paul W. Eloe
Mathematics Faculty Publications

PDF

1999

Comparison of eigenvalues for discrete Lidstone boundary value problems, John M. Davis, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Triple positive solutions and dependence on higher order derivatives, John M. Davis, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Twin solutions for nonlinear multipoint conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Inequalities for solutions of multipoint boundary value problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

PDF

Triple positive solutions for multipoint conjugate boundary value problems, John M. Davis, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

PDF

1998

Quadratic convergence of approximate solutions of two-point boundary value problems with impulse, Vidya Doddaballapur, Paul W. Eloe, Yongzhi Zhang
Mathematics Faculty Publications

PDF

Monotone and quadratic convergence of approximate solutions of ordinary differential equations with impulse, Vidya Doddaballapur, Paul W. Eloe
Mathematics Faculty Publications

Singular nonlinear multipoint conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Positive solutions and conjugate points for a boundary value problem with impulse, Paul W. Eloe, Michael Sokol
Mathematics Faculty Publications

A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations, Paul W. Eloe, Yongzhi Zhang
Mathematics Faculty Publications

Multiple positive solutions for difference equations, Paul W. Eloe, Johnny Henderson, Eric R. Kaufmann
Mathematics Faculty Publications

Positive solutions of boundary-value problems for disfocal ordinary differential equations, Paul W. Eloe
Mathematics Faculty Publications

Positive solutions and nonlinear (k,n-k) conjugate eigenvalue problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

A generalization of concavity for finite differences, Paul W. Eloe
Mathematics Faculty Publications

Positive solutions of boundary value problems for ordinary differential equations with impulse, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

1997

Positive solutions for (n-1,1) conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Singular nonlinear (k,n-k) conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Inequalities based on a generalization of concavity, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Positive solutions of three point boundary value problems, Paul W. Eloe, Janet McKelvey
Mathematics Faculty Publications

A boundary value problem for a system of ordinary differential equations with impulse effects, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

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Singular nonlinear (n-1,1) conjugate boundary value problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

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Positive solutions and nonlinear multipoint conjugate eigenvalue problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

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1996

A singular boundary value problem for a right disfocal linear differential operator, Paul W. Eloe, Eric R. Kaufmann
Mathematics Faculty Publications

Sign properties of Green's functions for difference equations, Paul W. Eloe, Timothy Peil
Mathematics Faculty Publications

Right focal boundary value problems with impulse effects, Paul W. Eloe, Johnny Henderson, Tarique Khan
Mathematics Faculty Publications

Positive solutions for two-point boundary value problems, Paul W. Eloe, Johnny Henderson, Patricia J. Y. Wong
Mathematics Faculty Publications

1995

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

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The convergence of iterative solutions to the electric field integral equation, Daniel D. Reuster, Gary A. Thiele, Paul W. Eloe
Mathematics Faculty Publications

Bifurcation from infinity and higher order ordinary differential equations, Joe Coyle, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Multipoint boundary value problems for functional differential equations, Paul W. Eloe, Johnny Henderson, Denise Taunton
Mathematics Faculty Publications

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Singular boundary value problems for quasi-differential equations, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

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Positive solutions for higher order ordinary differential equations, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

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1994

Focal point characterizations and comparisons for right focal differential operators, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Multipoint boundary value problems for ordinary differential systems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

A unique limiting Green's function for a class of singular boundary value problems, Paul W. Eloe, Eric R. Kaufmann
Mathematics Faculty Publications

Sign properties of Green's functions for a family of two-point boundary value problems, Paul W. Eloe, Jerry Ridenhour
Mathematics Faculty Publications

1993

Existence of solutions for some singular higher order boundary value problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Focal points and comparison theorems for a class of two-point boundary value problems, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

Differentiability with respect to boundary conditions and deviating argument for functional-differential systems, Jeffrey Ehme, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

1992

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

Positive solutions and conjugate points for multipoint boundary value problems, Paul W. Eloe, Darrel Hankerson, Johnny Henderson
Mathematics Faculty Publications

Positive solutions and J-focal points for two-point boundary value problems, Paul W. Eloe, Darrel Hankerson, Johnny Henderson
Mathematics Faculty Publications

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1991

Singular nonlinear boundary value problems for higher order ordinary differential equations, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

1990

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

1989

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

Optimal intervals for third order Lipschitz equations, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications

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1988

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

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

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

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

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

1987

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

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

1986

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

1985

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

1984

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

1983

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

1982

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

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

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

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1980

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

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