## Eloe, Paul W.

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 Author ID: eloe.paul-w Published as: Eloe, Paul W.; Eloe, P. W.; Eloe, Paul; Eloe, P. more...less
 Documents Indexed: 155 Publications since 1980, including 1 Book 1 Contribution as Editor · 1 Further Contribution Co-Authors: 63 Co-Authors with 142 Joint Publications 1,457 Co-Co-Authors
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### Co-Authors

 15 single-authored 60 Henderson, Johnny Lee 10 Neugebauer, Jeffrey T. 8 Islam, Muhammad Nazmul 7 Khan, Rahmat Ali 7 Merdivenci Atici, Ferhan 6 Grimm, Louis J. 5 Davis, John M. 4 Jonnalagadda, Jaganmohan 4 Kaufmann, Eric R. 4 Raffoul, Youssef Naim 4 Sheng, Qin 3 Ahmad, Bashir 3 Altwaty, Abdulmalik A. 3 Ehme, Jeffrey A. 3 Liu, Ruihua 2 Asif, Naseer Ahmad 2 Avery, Richard I. 2 Burton, Theodore Allen 2 Doddaballapur, Vidya 2 Hankerson, Darrel R. 2 Hilger, Stefan 2 Khristova, Snezhana G. 2 Kublik, Catherine M. 2 Tisdell, Christopher C. 2 Ur Rehman, Mujeeb 2 Usman, Muhammad 2 Zhang, Yongzhi 1 Alanazi, Kareem 1 Aljedani, Jabr 1 Almansour, Alaa 1 Alshammari, Meshal 1 Anderson, Douglas Robert 1 Benchohra, Mouffak 1 Bohner, Martin J. 1 Coyle, Joe 1 Gao, Yang 1 Goodrich, Christopher S. 1 Hicks, Troy L. 1 Kammler, David W. 1 Kaymakçalan, Billur 1 Khan, Tarique 1 Kosmatov, Nickolai 1 Mashburn, Joe D. 1 Masthay, Tyler 1 McKelvey, Janet 1 Mosa, Samerah Al 1 Neugebauer, Dan 1 Peil, Timothy 1 Peterson, Allan C. 1 Reid, Denise Taunton 1 Reuster, D. D. 1 Ridenhour, Jerry R. 1 Saintignon, P. L. 1 Sokol, Michael 1 Soon, Boon Yi 1 Taunton Reid, Rena Denise 1 Thiele, G. A. 1 Thompson, Harold Bevan 1 Wong, Patricia J. Y. 1 Yatsuki, M. 1 Yin, Gang George 1 Yin, William K. C. 1 Zhang, Lingqin 1 Zhang, Qing
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### Serials

 11 Journal of Mathematical Analysis and Applications 10 Electronic Journal of Differential Equations (EJDE) 9 Proceedings of the American Mathematical Society 8 Electronic Journal of Qualitative Theory of Differential Equations 7 Rocky Mountain Journal of Mathematics 7 Dynamic Systems and Applications 5 Computers & Mathematics with Applications 5 Journal of Differential Equations 5 Journal of Difference Equations and Applications 5 Communications on Applied Nonlinear Analysis 5 Nonlinear Analysis. Theory, Methods & Applications 4 Canadian Mathematical Bulletin 4 Communications in Applied Analysis 3 Georgian Mathematical Journal 3 Differential Equations and Dynamical Systems 2 Applicable Analysis 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of the Korean Mathematical Society 2 Mathematische Nachrichten 2 Applied Mathematics Letters 2 Panamerican Mathematical Journal 2 SIAM Journal on Applied Mathematics 2 Dynamics of Continuous, Discrete and Impulsive Systems 2 Fractional Calculus & Applied Analysis 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 International Journal of Difference Equations 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tôhoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Mathematical and Computer Modelling 1 Differential and Integral Equations 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Turkish Journal of Mathematics 1 Filomat 1 Opuscula Mathematica 1 Nonlinear Studies 1 Mathematical Inequalities & Applications 1 Journal of Integer Sequences 1 Journal of Nonlinear Mathematical Physics 1 Applied Mathematics E-Notes 1 Nonlinear Dynamics and Systems Theory 1 Advances in Difference Equations 1 Cubo 1 Journal of Mathematical Inequalities 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Fractional Calculus and Applications 1 Trends in Abstract and Applied Analysis 1 Advances in the Theory of Nonlinear Analysis and its Applications
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### Fields

 126 Ordinary differential equations (34-XX) 33 Difference and functional equations (39-XX) 25 Operator theory (47-XX) 12 Real functions (26-XX) 10 Numerical analysis (65-XX) 8 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

129 Publications have been cited 1,901 times in 1,219 Documents Cited by Year
Initial value problems in discrete fractional calculus. Zbl 1166.39005
Atici, Ferhan M.; Eloe, Paul W.
2009
Discrete fractional calculus with the nabla operator. Zbl 1189.39004
Atici, F. M.; Eloe, P.
2009
Two-point boundary value problems for finite fractional difference equations. Zbl 1215.39002
Atıcı, Ferhan M.; Eloe, Paul W.
2011
Fractional $$q$$-calculus on a time scale. Zbl 1157.81315
Atici, Ferhan M.; Eloe, Paul W.
2007
Positive solutions of a nonlinear $$n$$th order boundary value problem with nonlocal conditions. Zbl 1074.34022
2005
Triple positive solutions and dependence on higher order derivatives. Zbl 0935.34020
Davis, John M.; Eloe, Paul W.; Henderson, Johnny
1999
Linear systems of fractional nabla difference equations. Zbl 1218.39003
Atici, Ferhan M.; Eloe, Paul W.
2011
Positive solutions for $$(n-1,1)$$ conjugate boundary value problems. Zbl 0871.34015
Eloe, Paul W.; Henderson, Johnny
1997
Upper and lower solution methods for fully nonlinear boundary value problems. Zbl 1019.34015
Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny
2002
Singular nonlinear $$(k,n-k)$$ conjugate boundary value problems. Zbl 0870.34031
Eloe, Paul W.; Henderson, Johnny
1997
Gronwall’s inequality on discrete fractional calculus. Zbl 1268.26029
Atıcı, Ferhan M.; Eloe, Paul W.
2012
Singular nonlinear boundary value problems for higher order ordinary differential equations. Zbl 0731.34015
Eloe, Paul W.; Henderson, Johnny
1991
Existence and uniqueness of solutions for impulsive fractional differential equations. Zbl 1334.34019
Rehman, Mujeeb Ur; Eloe, Paul W.
2013
Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions. Zbl 0957.34033
Bohner, Martin; Eloe, Paul W.
2000
Positive solutions and nonlinear multipoint conjugate eigenvalue problems. Zbl 0888.34013
Eloe, Paul W.; Henderson, Johnny
1997
Positive solutions of nonlinear functional difference equations. Zbl 0998.39003
Eloe, P. W.; Raffoul, Y.; Reid, D. T.; Yin, K. C.
2001
A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations. Zbl 0939.34019
Eloe, Paul W.; Zhang, Yongzhi
1998
A generalization of concavity for finite differences. Zbl 0933.39038
Eloe, P. W.
1998
Inequalities based on a generalization of concavity. Zbl 0868.34008
Eloe, Paul W.; Henderson, Johnny
1997
A boundary value problem for a system of difference equations. Zbl 0518.39002
Eloe, P. W.
1983
The method of quasilinearization and a three-point boundary value problem. Zbl 1012.34014
Eloe, Paul W.; Gao, Yang
2002
Optimal selling rules in a regime-switching exponential Gaussian diffusion model. Zbl 1175.91079
Eloe, P.; Liu, R. H.; Yatsuki, M.; Yin, G.; Zhang, Q.
2008
Comparison of eigenvalues for discrete Lidstone boundary value problems. Zbl 0941.39009
Davis, John M.; Eloe, Paul W.; Henderson, Johny
1999
Positive solutions and nonlinear $$(k,n-k)$$ conjugate eigenvalue problems. Zbl 1003.34018
Eloe, Paul W.; Henderson, Johnny
1998
Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for $$n$$th order differential equations. Zbl 1396.34011
Eloe, Paul W.; Henderson, Johnny
2007
Extremal points for impulsive Lidstone boundary value problems. Zbl 0963.34022
Eloe, P. W.; Henderson, J.; Thompson, H. B.
2000
Difference equations and multipoint boundary value problems. Zbl 0508.39008
Eloe, P. W.
1982
Positive solutions for two-point boundary value problems. Zbl 0876.34016
Eloe, Paul W.; Henderson, Johnny; Wong, Patricia J. Y.
1996
Nonlinear boundary value problems and a priori bounds on solutions. Zbl 0547.34015
Eloe, P. W.; Henderson, Johnny
1984
Positive solutions for higher order ordinary differential equations. Zbl 0814.34017
Eloe, Paul W.; Henderson, Johnny
1995
A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices. Zbl 1275.34005
2010
Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions. Zbl 1027.34013
Ahmad, Bashir; Khan, Rahmat Ali; Eloe, Paul W.
2002
Multiple solutions of a boundary value problem on an unbounded domain. Zbl 1108.34024
Eloe, Paul W.; Kaufmann, Eric R.; Tisdell, Christopher C.
2006
Existence of solutions for some singular higher order boundary value problems. Zbl 0795.34016
Eloe, P.; Henderson, J.
1993
Positive solutions and conjugate points for multipoint boundary value problems. Zbl 0760.34022
Eloe, Paul W.; Hankerson, Darrel; Henderson, Johnny
1992
The quasilinearization method for boundary value problems on time scales. Zbl 1021.34006
Atici, F. Merdivenci; Eloe, P. W.; Kaymakçalan, B.
2002
Sign properties of Green’s functions for two classes of boundary value problems. Zbl 0582.34033
Eloe, P. W.
1987
Notes on crossed symmetry solutions of the two-point boundary value problems on time scales. Zbl 1038.34013
Eloe, P. W.; Sheng, Q.; Henderson, J.
2003
A boundary value problem for a system of ordinary differential equations with impulse effects. Zbl 0902.34014
Eloe, Paul W.; Henderson, Johnny
1997
Nonlinear integrodifferential equations and a priori bounds on periodic solutions. Zbl 0756.45012
Burton, T. A.; Eloe, P. W.; Islam, M. N.
1992
Uniform asymptotic stability in nonlinear Volterra discrete systems. Zbl 1051.39003
Eloe, P. W.; Islam, M. N.; Raffoul, Y. N.
2003
Uniform asymptotic stability in linear Volterra integrodifferential equations with application to delay systems. Zbl 0970.45004
Eloe, Paul; Islam, Muhammad; Zhang, Bo
2000
Double barrier option under regime-switching exponential mean-reverting process. Zbl 1163.91393
Eloe, P.; Liu, R. H.; Sun, J. Y.
2009
Nonlinear eigenvalue problems for higher order Lidstone boundary value problems. Zbl 0948.34013
Eloe, Paul W.
2000
Multipoint boundary value problems for ordinary differential systems. Zbl 0809.34028
Eloe, Paul W.; Henderson, Johnny
1994
Multiple positive solutions for difference equations. Zbl 1005.39502
Eloe, Paul W.; Henderson, Johnny; Kaufmann, Eric R.
1998
Focal points and comparison theorems for a class of two point boundary value problems. Zbl 0781.34023
Eloe, Paul W.; Henderson, Johnny
1993
Comparison of eigenvalues for a class of two-point boundary value problems. Zbl 0662.34026
Eloe, Paul W.; Henderson, Johnny
1989
Criteria for right disfocality of linear difference equations. Zbl 0603.39002
Eloe, Paul W.
1986
Periodic solutions of linear integro-differential equations. Zbl 0725.45006
Burton, T. A.; Eloe, P. W.; Islam, M. N.
1990
Comparison of eigenvalues for a class of multipoint boundary value problems. Zbl 0832.34089
Eloe, Paul W.; Henderson, Johnny
1992
Singular nonlinear $$(n-1,1)$$ conjugate boundary value problems. Zbl 0882.34029
Eloe, Paul W.; Henderson, Johnny
1997
Positive solutions of boundary value problems for ordinary differential equations with impulse. Zbl 0903.34013
Eloe, Paul W.; Henderson, Johnny
1998
Monotone methods and fourth order Lidstone boundary value problems with impulse effects. Zbl 1084.34507
Eloe, P. W.; Islam, M. N.
2001
Uniqueness implies existence and uniqueness conditions for a class of $$(k + j)$$-point boundary value problems for $$n$$th order differential equations. Zbl 1242.34033
Eloe, Paul; Henderson, Johnny
2011
Analogues of Fekete and Descartes systems of solutions for difference equations. Zbl 0695.39003
Eloe, Paul W.; Henderson, Johnny
1989
Conjugate points for fractional differential equations. Zbl 1305.34012
Eloe, Paul; Neugebauer, Jeffrey T.
2014
Some analogues of Markov and Descartes systems for right disfocality. Zbl 0627.34018
Eloe, P. W.; Henderson, Johnny
1987
Existence and comparison of smallest eigenvalues for a fractional boundary-value problem. Zbl 1302.34006
Eloe, Paul W.; Neugebauer, Jeffrey T.
2014
A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030
Eloe, P. W.; Hilger, S.; Sheng, Q.
2006
Positive solutions for a system of singular second order nonlocal boundary value problems. Zbl 1206.34044
Asif, Naseer Ahmad; Eloe, Paul W.; Khan, Rahmat Ali
2010
The method of quasilinearization and dynamic equations on compact measure chains. Zbl 1002.65081
Eloe, Paul W.
2002
The quasilinearization method on an unbounded domain. Zbl 1036.34007
Eloe, Paul W.
2003
A boundary value problem on an unbounded domain. Zbl 0981.34017
Eloe, Paul W.; Grimm, Louis J.; Mashburn, Joe D.
2000
Quadratic convergence of approximate solutions to two-point boundary value problems with impulse. Zbl 0915.34017
Doddaballapur, Vidya; Eloe, Paul W.; Zhang, Yongzhi
1997
Twin solutions for nonlinear multipoint conjugate boundary value problems. Zbl 0942.34016
Eloe, Paul W.; Henderson, Johnny
1999
Eventual disconjugacy and right disfocality of linear difference equations. Zbl 0615.39002
Eloe, P. W.
1988
Smallest eigenvalues for a right focal boundary value problem. Zbl 1342.34011
Eloe, Paul; Neugebauer, Jeffrey T.
2016
Sign properties of Green’s functions for a family of two-point boundary value problems. Zbl 0795.34010
Eloe, Paul W.; Ridenhour, Jerry
1994
Upper and lower solution method for boundary value problems at resonance. Zbl 1363.34063
Mosa, Samerah Al; Eloe, Paul
2016
Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions. Zbl 1029.34010
Eloe, P.; Hristova, S. G.
2002
Countable positive solutions of a conjugate boundary value problem. Zbl 1108.34307
Eloe, Paul W.; Henderson, Johnny; Kosmatov, Nickolai
2000
Comparison of Green’s functions for a family of boundary value problems for fractional difference equations. Zbl 1431.39002
Eloe, Paul W.; Kublik, Catherine M.; Neugebauer, Jeffrey T.
2019
Inequalities for solutions of multipoint boundary value problems. Zbl 0954.34010
Eloe, Paul W.; Henderson, Johnny
1999
Monotone iteration and Green’s functions for boundary value problems. Zbl 0442.34027
Eloe, P. W.; Grimm, L. J.
1980
Existence of solutions for $$2n$$th order nonlinear generalized Sturm-Liouville boundary value problems. Zbl 0994.34007
Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny
2001
Singular nonlinear multipoint conjugate boundary value problems. Zbl 0903.34016
Eloe, P. W.; Henderson, J.
1998
Differentiability with respect to boundary conditions and deviating argument for functional differential systems. Zbl 0872.34043
Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny
1993
Focal point characterizations and comparisons for right focal differential operators. Zbl 0834.47044
Eloe, Paul W.; Henderson, Johnny
1994
Comparison of Green’s functions for a family of multipoint boundary value problems. Zbl 0964.34012
Eloe, Paul W.; Zhang, Lingqin
2000
Uniqueness implies existence and uniqueness conditions for a class of $$(k+j)$$-point boundary value problems for $$n$$-th order differential equations. Zbl 1254.34029
Eloe, Paul W.; Henderson, Johnny; Khan, Rahmat Ali
2012
Singular boundary value problems for quasi-differential equations. Zbl 0886.34016
Eloe, Paul W.; Henderson, Johnny
1995
Stability properties and integrability of the resolvent of linear Volterra equations. Zbl 0826.45004
1995
Multipoint boundary value problems for functional differential equations. Zbl 0841.34068
Eloe, Paul W.; Henderson, Johnny; Taunton, Denise
1995
Bifurcation from infinity and higher order ordinary differential equations. Zbl 0845.34045
Coyle, Joe; Eloe, Paul W.; Henderson, Johnny
1995
On nonresonance impulsive functional differential equations with periodic boundary conditions. Zbl 0983.34077
Benchohra, Mouffak; Eloe, Paul W.
2001
A comparison theorem for linear difference equations. Zbl 0652.39003
Eloe, P. W.
1988
Positive solutions of boundary-value problems for disfocal ordinary differential equations. Zbl 0897.34022
Eloe, Paul W.
1998
Existence, uniqueness and constructive results for delay differential equations. Zbl 1112.34042
Eloe, Paul W.; Raffoul, Youssef N.; Tisdell, Christopher C.
2005
Positive solutions and $$J$$-focal points for two point boundary value problems. Zbl 0773.34015
Eloe, Paul W.; Hankerson, Darrel; Henderson, Johnny
1992
Convolutions and Green’s functions for two families of boundary value problems for fractional differential equations. Zbl 1359.34007
Eloe, Paul W.; Neugebauer, Jeffrey T.
2016
Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization. Zbl 1046.34036
Eloe, P. W.; Sheng, Q.
2004
Upper and lower solutions for regime-switching diffusions with applications in financial mathematics. Zbl 1238.91131
Eloe, P.; Liu, R. H.
2011
Optimal intervals for third order Lipschitz equations. Zbl 0723.34017
Eloe, Paul W.; Henderson, Johnny
1989
The role of concavity in applications of Avery type fixed point theorems to higher order differential equations. Zbl 1246.34023
Altwaty, Abdulmalik A.; Eloe, Paul
2012
A singular boundary value problem for a right disfocal linear differential operator. Zbl 0857.34029
Eloe, Paul W.; Kaufmann, Eric R.
1996
Positive solutions and conjugate points for a boundary value problem with impulse. Zbl 0945.34012
Eloe, Paul W.; Sokol, Michael
1998
Maximum principles for a family of nonlocal boundary value problems. Zbl 1083.39018
Eloe, Paul W.
2004
Fixed points and solutions of boundary value problems at resonance. Zbl 1351.34020
Almansour, Alaa; Eloe, Paul
2015
Families of boundary conditions for nonlinear ordinary differential equations. Zbl 0563.34019
Eloe, P. W.; Henderson, Johnny
1985
Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions. Zbl 07385015
Eloe, Paul W.; Neugebauer, Jeffrey T.
2021
Three point boundary value problems for ordinary differential equations, uniqueness implies existence. Zbl 1474.34126
Eloe, Paul; Henderson, Johnny; Neugebauer, Jeffrey T.
2020
Two-point boundary value problems for ordinary differential equations, uniqueness implies existence. Zbl 1452.34035
Eloe, Paul W.; Henderson, Johnny
2020
Quasilinearization applied to boundary value problems at resonance for Riemann-Liouville fractional differential equations. Zbl 1460.34011
2020
Comparison of Green’s functions for a family of boundary value problems for fractional difference equations. Zbl 1431.39002
Eloe, Paul W.; Kublik, Catherine M.; Neugebauer, Jeffrey T.
2019
Mittag-Leffler stability of systems of fractional nabla difference equations. Zbl 1423.39020
2019
Avery fixed point theorem applied to Hammerstein integral equations. Zbl 07115558
Eloe, Paul W.; Neugebauer, Jeffrey T.
2019
Initial value problems for Caputo fractional differential equations. Zbl 07449795
Eloe, Paul W.; Masthay, Tyler
2018
Concavity in fractional calculus. Zbl 07475352
Eloe, Paul W.; Neugebauer, Jeffrey T.
2018
Uniqueness of solutions of boundary value problems at resonance. Zbl 1412.34083
Aljedani, Jabr; Eloe, Paul
2018
Smallest eigenvalues for a right focal boundary value problem. Zbl 1342.34011
Eloe, Paul; Neugebauer, Jeffrey T.
2016
Upper and lower solution method for boundary value problems at resonance. Zbl 1363.34063
Mosa, Samerah Al; Eloe, Paul
2016
Convolutions and Green’s functions for two families of boundary value problems for fractional differential equations. Zbl 1359.34007
Eloe, Paul W.; Neugebauer, Jeffrey T.
2016
Nonlinear interpolation and boundary value problems. Zbl 1385.34003
Eloe, Paul W.; Henderson, Johnny
2016
Fixed points and solutions of boundary value problems at resonance. Zbl 1351.34020
Almansour, Alaa; Eloe, Paul
2015
Conjugate points for fractional differential equations. Zbl 1305.34012
Eloe, Paul; Neugebauer, Jeffrey T.
2014
Existence and comparison of smallest eigenvalues for a fractional boundary-value problem. Zbl 1302.34006
Eloe, Paul W.; Neugebauer, Jeffrey T.
2014
Existence and uniqueness of solutions for impulsive fractional differential equations. Zbl 1334.34019
Rehman, Mujeeb Ur; Eloe, Paul W.
2013
An example employing convexity in functional fixed point arguments. Zbl 1303.47087
Avery, Richard I.; Eloe, Paul W.; Henderson, Johnny
2013
Concavity of solutions of a $$2n$$-th order problem with symmetry. Zbl 1288.34021
Al Twaty, Abdulmalik; Eloe, Paul W.
2013
Gronwall’s inequality on discrete fractional calculus. Zbl 1268.26029
Atıcı, Ferhan M.; Eloe, Paul W.
2012
Uniqueness implies existence and uniqueness conditions for a class of $$(k+j)$$-point boundary value problems for $$n$$-th order differential equations. Zbl 1254.34029
Eloe, Paul W.; Henderson, Johnny; Khan, Rahmat Ali
2012
The role of concavity in applications of Avery type fixed point theorems to higher order differential equations. Zbl 1246.34023
Altwaty, Abdulmalik A.; Eloe, Paul
2012
Bifurcations in steady state solutions of a class of nonlinear dispersive wave equations. Zbl 1305.35129
2012
A Leggett-Williams type theorem applied to a fourth order problem. Zbl 1273.34024
Avery, Richard; Eloe, Paul; Henderson, Johnny
2012
Existence and uniqueness conditions for a class of $$(k + 4j)$$-point $$n$$-th order boundary value problems. Zbl 1312.34049
Eloe, P.; Henderson, J.; Khan, R. A.
2012
Two-point boundary value problems for finite fractional difference equations. Zbl 1215.39002
Atıcı, Ferhan M.; Eloe, Paul W.
2011
Linear systems of fractional nabla difference equations. Zbl 1218.39003
Atici, Ferhan M.; Eloe, Paul W.
2011
Uniqueness implies existence and uniqueness conditions for a class of $$(k + j)$$-point boundary value problems for $$n$$th order differential equations. Zbl 1242.34033
Eloe, Paul; Henderson, Johnny
2011
Upper and lower solutions for regime-switching diffusions with applications in financial mathematics. Zbl 1238.91131
Eloe, P.; Liu, R. H.
2011
Positive solutions of nonlocal boundary value problem for higher order fractional differential system. Zbl 1253.34017
Rehman, Mujeeb Ur; Khan, Rahmat Ali; Eloe, Paul W.
2011
Fully nonlinear boundary value problems with impulse. Zbl 1340.34116
Eloe, Paul; Usman, M.
2011
Optimal intervals for uniqueness of solutions for nonlocal boundary value problems. Zbl 1235.34055
Eloe, Paul W.; Henderson, Johnny
2011
A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices. Zbl 1275.34005
2010
Positive solutions for a system of singular second order nonlocal boundary value problems. Zbl 1206.34044
Asif, Naseer Ahmad; Eloe, Paul W.; Khan, Rahmat Ali
2010
Initial value problems in discrete fractional calculus. Zbl 1166.39005
Atici, Ferhan M.; Eloe, Paul W.
2009
Discrete fractional calculus with the nabla operator. Zbl 1189.39004
Atici, F. M.; Eloe, P.
2009
Double barrier option under regime-switching exponential mean-reverting process. Zbl 1163.91393
Eloe, P.; Liu, R. H.; Sun, J. Y.
2009
Optimal selling rules in a regime-switching exponential Gaussian diffusion model. Zbl 1175.91079
Eloe, P.; Liu, R. H.; Yatsuki, M.; Yin, G.; Zhang, Q.
2008
Fractional $$q$$-calculus on a time scale. Zbl 1157.81315
Atici, Ferhan M.; Eloe, Paul W.
2007
Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for $$n$$th order differential equations. Zbl 1396.34011
Eloe, Paul W.; Henderson, Johnny
2007
Multiple solutions of a boundary value problem on an unbounded domain. Zbl 1108.34024
Eloe, Paul W.; Kaufmann, Eric R.; Tisdell, Christopher C.
2006
A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030
Eloe, P. W.; Hilger, S.; Sheng, Q.
2006
Positive solutions of a nonlinear $$n$$th order boundary value problem with nonlocal conditions. Zbl 1074.34022
2005
Existence, uniqueness and constructive results for delay differential equations. Zbl 1112.34042
Eloe, Paul W.; Raffoul, Youssef N.; Tisdell, Christopher C.
2005
Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization. Zbl 1046.34036
Eloe, P. W.; Sheng, Q.
2004
Maximum principles for a family of nonlocal boundary value problems. Zbl 1083.39018
Eloe, Paul W.
2004
Notes on crossed symmetry solutions of the two-point boundary value problems on time scales. Zbl 1038.34013
Eloe, P. W.; Sheng, Q.; Henderson, J.
2003
Uniform asymptotic stability in nonlinear Volterra discrete systems. Zbl 1051.39003
Eloe, P. W.; Islam, M. N.; Raffoul, Y. N.
2003
The quasilinearization method on an unbounded domain. Zbl 1036.34007
Eloe, Paul W.
2003
Sign properties of Green’s functions for disconjugate dynamic equations on time scales. Zbl 1054.34023
Eloe, Paul W.
2003
A continuation of the discussion on cross symmetry of solutions. Zbl 1056.34014
Eloe, Paul W.; Sheng, Qin
2003
Upper and lower solution methods for fully nonlinear boundary value problems. Zbl 1019.34015
Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny
2002
The method of quasilinearization and a three-point boundary value problem. Zbl 1012.34014
Eloe, Paul W.; Gao, Yang
2002
Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions. Zbl 1027.34013
Ahmad, Bashir; Khan, Rahmat Ali; Eloe, Paul W.
2002
The quasilinearization method for boundary value problems on time scales. Zbl 1021.34006
Atici, F. Merdivenci; Eloe, P. W.; Kaymakçalan, B.
2002
The method of quasilinearization and dynamic equations on compact measure chains. Zbl 1002.65081
Eloe, Paul W.
2002
Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions. Zbl 1029.34010
Eloe, P.; Hristova, S. G.
2002
Positive solutions of nonlinear functional difference equations. Zbl 0998.39003
Eloe, P. W.; Raffoul, Y.; Reid, D. T.; Yin, K. C.
2001
Monotone methods and fourth order Lidstone boundary value problems with impulse effects. Zbl 1084.34507
Eloe, P. W.; Islam, M. N.
2001
Existence of solutions for $$2n$$th order nonlinear generalized Sturm-Liouville boundary value problems. Zbl 0994.34007
Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny
2001
On nonresonance impulsive functional differential equations with periodic boundary conditions. Zbl 0983.34077
Benchohra, Mouffak; Eloe, Paul W.
2001
Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions. Zbl 0957.34033
Bohner, Martin; Eloe, Paul W.
2000
Extremal points for impulsive Lidstone boundary value problems. Zbl 0963.34022
Eloe, P. W.; Henderson, J.; Thompson, H. B.
2000
Uniform asymptotic stability in linear Volterra integrodifferential equations with application to delay systems. Zbl 0970.45004
Eloe, Paul; Islam, Muhammad; Zhang, Bo
2000
Nonlinear eigenvalue problems for higher order Lidstone boundary value problems. Zbl 0948.34013
Eloe, Paul W.
2000
A boundary value problem on an unbounded domain. Zbl 0981.34017
Eloe, Paul W.; Grimm, Louis J.; Mashburn, Joe D.
2000
Countable positive solutions of a conjugate boundary value problem. Zbl 1108.34307
Eloe, Paul W.; Henderson, Johnny; Kosmatov, Nickolai
2000
Comparison of Green’s functions for a family of multipoint boundary value problems. Zbl 0964.34012
Eloe, Paul W.; Zhang, Lingqin
2000
Triple positive solutions and dependence on higher order derivatives. Zbl 0935.34020
Davis, John M.; Eloe, Paul W.; Henderson, Johnny
1999
Comparison of eigenvalues for discrete Lidstone boundary value problems. Zbl 0941.39009
Davis, John M.; Eloe, Paul W.; Henderson, Johny
1999
Twin solutions for nonlinear multipoint conjugate boundary value problems. Zbl 0942.34016
Eloe, Paul W.; Henderson, Johnny
1999
Inequalities for solutions of multipoint boundary value problems. Zbl 0954.34010
Eloe, Paul W.; Henderson, Johnny
1999
Triple positive solutions for multipoint conjugate boundary value problems. Zbl 0942.34014
Davis, John M.; Eloe, Paul W.; Henderson, Johnny
1999
A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations. Zbl 0939.34019
Eloe, Paul W.; Zhang, Yongzhi
1998
A generalization of concavity for finite differences. Zbl 0933.39038
Eloe, P. W.
1998
Positive solutions and nonlinear $$(k,n-k)$$ conjugate eigenvalue problems. Zbl 1003.34018
Eloe, Paul W.; Henderson, Johnny
1998
Multiple positive solutions for difference equations. Zbl 1005.39502
Eloe, Paul W.; Henderson, Johnny; Kaufmann, Eric R.
1998
Positive solutions of boundary value problems for ordinary differential equations with impulse. Zbl 0903.34013
Eloe, Paul W.; Henderson, Johnny
1998
Singular nonlinear multipoint conjugate boundary value problems. Zbl 0903.34016
Eloe, P. W.; Henderson, J.
1998
Positive solutions of boundary-value problems for disfocal ordinary differential equations. Zbl 0897.34022
Eloe, Paul W.
1998
Positive solutions and conjugate points for a boundary value problem with impulse. Zbl 0945.34012
Eloe, Paul W.; Sokol, Michael
1998
Monotone and quadratic convergence of approximate solutions of ordinary differential equations with impulse. Zbl 0901.34017
Doddaballapur, V.; Eloe, P. W.
1998
Positive solutions for $$(n-1,1)$$ conjugate boundary value problems. Zbl 0871.34015
Eloe, Paul W.; Henderson, Johnny
1997
Singular nonlinear $$(k,n-k)$$ conjugate boundary value problems. Zbl 0870.34031
Eloe, Paul W.; Henderson, Johnny
1997
Positive solutions and nonlinear multipoint conjugate eigenvalue problems. Zbl 0888.34013
Eloe, Paul W.; Henderson, Johnny
1997
Inequalities based on a generalization of concavity. Zbl 0868.34008
Eloe, Paul W.; Henderson, Johnny
1997
A boundary value problem for a system of ordinary differential equations with impulse effects. Zbl 0902.34014
Eloe, Paul W.; Henderson, Johnny
1997
Singular nonlinear $$(n-1,1)$$ conjugate boundary value problems. Zbl 0882.34029
Eloe, Paul W.; Henderson, Johnny
1997
Quadratic convergence of approximate solutions to two-point boundary value problems with impulse. Zbl 0915.34017
Doddaballapur, Vidya; Eloe, Paul W.; Zhang, Yongzhi
1997
Positive solutions of three point boundary value problems. Zbl 0874.34022
Eloe, Paul W.; McKelvey, Janet
1997
Positive solutions for two-point boundary value problems. Zbl 0876.34016
Eloe, Paul W.; Henderson, Johnny; Wong, Patricia J. Y.
1996
A singular boundary value problem for a right disfocal linear differential operator. Zbl 0857.34029
Eloe, Paul W.; Kaufmann, Eric R.
1996
Right focal boundary value problems with impulse effects. Zbl 0876.34010
Eloe, Paul W.; Henderson, Johnny; Khan, Tarique
1996
Sign properties of Green’s functions for difference equations. Zbl 0843.39009
Eloe, Paul W.; Peil, Timothy
1996
Positive solutions for higher order ordinary differential equations. Zbl 0814.34017
Eloe, Paul W.; Henderson, Johnny
1995
Singular boundary value problems for quasi-differential equations. Zbl 0886.34016
Eloe, Paul W.; Henderson, Johnny
1995
Stability properties and integrability of the resolvent of linear Volterra equations. Zbl 0826.45004
1995
Multipoint boundary value problems for functional differential equations. Zbl 0841.34068
Eloe, Paul W.; Henderson, Johnny; Taunton, Denise
1995
Bifurcation from infinity and higher order ordinary differential equations. Zbl 0845.34045
Coyle, Joe; Eloe, Paul W.; Henderson, Johnny
1995
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