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Author ID: eloe.paul-w Recent zbMATH articles by "Eloe, Paul W."
Published as: Eloe, Paul W.; Eloe, P. W.; Eloe, Paul; Eloe, P.
Further Spellings: Eloe, Paul Webster
Homepage: https://udayton.edu/directory/artssciences/mathematics/eloe_paul.php
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all top 5

Serials

11 Journal of Mathematical Analysis and Applications
10 Proceedings of the American Mathematical Society
10 Electronic Journal of Differential Equations (EJDE)
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 Turkish Journal of 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 Nonlinear Dynamics and Systems Theory
2 Cubo
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 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 Advances in Difference Equations
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

Publications by Year

Citations contained in zbMATH Open

132 Publications have been cited 2,205 times in 1,391 Documents Cited by Year
Initial value problems in discrete fractional calculus. Zbl 1166.39005
Atici, Ferhan M.; Eloe, Paul W.
342
2009
Discrete fractional calculus with the nabla operator. Zbl 1189.39004
Atici, F. M.; Eloe, P.
215
2009
Two-point boundary value problems for finite fractional difference equations. Zbl 1215.39002
Atıcı, Ferhan M.; Eloe, Paul W.
145
2011
Fractional \(q\)-calculus on a time scale. Zbl 1157.81315
Atici, Ferhan M.; Eloe, Paul W.
93
2007
Linear systems of fractional nabla difference equations. Zbl 1218.39003
Atici, Ferhan M.; Eloe, Paul W.
87
2011
Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions. Zbl 1074.34022
Eloe, Paul W.; Ahmad, Bashir
85
2005
Triple positive solutions and dependence on higher order derivatives. Zbl 0935.34020
Davis, John M.; Eloe, Paul W.; Henderson, Johnny
76
1999
Positive solutions for \((n-1,1)\) conjugate boundary value problems. Zbl 0871.34015
Eloe, Paul W.; Henderson, Johnny
71
1997
Upper and lower solution methods for fully nonlinear boundary value problems. Zbl 1019.34015
Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny
64
2002
Gronwall’s inequality on discrete fractional calculus. Zbl 1268.26029
Atıcı, Ferhan M.; Eloe, Paul W.
54
2012
Singular nonlinear \((k,n-k)\) conjugate boundary value problems. Zbl 0870.34031
Eloe, Paul W.; Henderson, Johnny
47
1997
Positive solutions for higher order ordinary differential equations. Zbl 0814.34017
Eloe, Paul W.; Henderson, Johnny
40
1995
Singular nonlinear boundary value problems for higher order ordinary differential equations. Zbl 0731.34015
Eloe, Paul W.; Henderson, Johnny
39
1991
Existence and uniqueness of solutions for impulsive fractional differential equations. Zbl 1334.34019
Rehman, Mujeeb Ur; Eloe, Paul W.
32
2013
Positive solutions and nonlinear multipoint conjugate eigenvalue problems. Zbl 0888.34013
Eloe, Paul W.; Henderson, Johnny
26
1997
Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions. Zbl 0957.34033
Bohner, Martin; Eloe, Paul W.
25
2000
A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations. Zbl 0939.34019
Eloe, Paul W.; Zhang, Yongzhi
21
1998
Positive solutions of nonlinear functional difference equations. Zbl 0998.39003
Eloe, P. W.; Raffoul, Y.; Reid, D. T.; Yin, K. C.
20
2001
Inequalities based on a generalization of concavity. Zbl 0868.34008
Eloe, Paul W.; Henderson, Johnny
20
1997
A boundary value problem for a system of difference equations. Zbl 0518.39002
Eloe, P. W.
19
1983
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.
19
2008
Extremal points for impulsive Lidstone boundary value problems. Zbl 0963.34022
Eloe, P. W.; Henderson, J.; Thompson, H. B.
19
2000
A generalization of concavity for finite differences. Zbl 0933.39038
Eloe, P. W.
19
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
18
2007
The method of quasilinearization and a three-point boundary value problem. Zbl 1012.34014
Eloe, Paul W.; Gao, Yang
18
2002
Positive solutions and nonlinear \((k,n-k)\) conjugate eigenvalue problems. Zbl 1003.34018
Eloe, Paul W.; Henderson, Johnny
18
1998
Comparison of eigenvalues for discrete Lidstone boundary value problems. Zbl 0941.39009
Davis, John M.; Eloe, Paul W.; Henderson, Johny
17
1999
Positive solutions and conjugate points for multipoint boundary value problems. Zbl 0760.34022
Eloe, Paul W.; Hankerson, Darrel; Henderson, Johnny
15
1992
Difference equations and multipoint boundary value problems. Zbl 0508.39008
Eloe, P. W.
15
1982
A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices. Zbl 1275.34005
Ahmad, Bashir; Eloe, Paul
14
2010
Multiple solutions of a boundary value problem on an unbounded domain. Zbl 1108.34024
Eloe, Paul W.; Kaufmann, Eric R.; Tisdell, Christopher C.
14
2006
Nonlinear boundary value problems and a priori bounds on solutions. Zbl 0547.34015
Eloe, P. W.; Henderson, Johnny
14
1984
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.
14
2002
Positive solutions for two-point boundary value problems. Zbl 0876.34016
Eloe, Paul W.; Henderson, Johnny; Wong, Patricia J. Y.
14
1996
Existence of solutions for some singular higher order boundary value problems. Zbl 0795.34016
Eloe, P.; Henderson, J.
13
1993
Sign properties of Green’s functions for two classes of boundary value problems. Zbl 0582.34033
Eloe, P. W.
12
1987
The quasilinearization method for boundary value problems on time scales. Zbl 1021.34006
Atici, F. Merdivenci; Eloe, P. W.; Kaymakçalan, B.
12
2002
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.
12
2003
A boundary value problem for a system of ordinary differential equations with impulse effects. Zbl 0902.34014
Eloe, Paul W.; Henderson, Johnny
11
1997
Nonlinear integrodifferential equations and a priori bounds on periodic solutions. Zbl 0756.45012
Burton, T. A.; Eloe, P. W.; Islam, M. N.
10
1992
Double barrier option under regime-switching exponential mean-reverting process. Zbl 1163.91393
Eloe, P.; Liu, R. H.; Sun, J. Y.
10
2009
Uniform asymptotic stability in linear Volterra integrodifferential equations with application to delay systems. Zbl 0970.45004
Eloe, Paul; Islam, Muhammad; Zhang, Bo
10
2000
Uniform asymptotic stability in nonlinear Volterra discrete systems. Zbl 1051.39003
Eloe, P. W.; Islam, M. N.; Raffoul, Y. N.
10
2003
Initial value problems for Caputo fractional differential equations. Zbl 1499.34044
Eloe, Paul W.; Masthay, Tyler
9
2018
Comparison of eigenvalues for a class of two-point boundary value problems. Zbl 0662.34026
Eloe, Paul W.; Henderson, Johnny
9
1989
Multiple positive solutions for difference equations. Zbl 1005.39502
Eloe, Paul W.; Henderson, Johnny; Kaufmann, Eric R.
9
1998
Nonlinear eigenvalue problems for higher order Lidstone boundary value problems. Zbl 0948.34013
Eloe, Paul W.
8
2000
Focal points and comparison theorems for a class of two point boundary value problems. Zbl 0781.34023
Eloe, Paul W.; Henderson, Johnny
8
1993
Multipoint boundary value problems for ordinary differential systems. Zbl 0809.34028
Eloe, Paul W.; Henderson, Johnny
8
1994
Comparison of eigenvalues for a class of multipoint boundary value problems. Zbl 0832.34089
Eloe, Paul W.; Henderson, Johnny
7
1992
Periodic solutions of linear integro-differential equations. Zbl 0725.45006
Burton, T. A.; Eloe, P. W.; Islam, M. N.
7
1990
Monotone methods and fourth order Lidstone boundary value problems with impulse effects. Zbl 1084.34507
Eloe, P. W.; Islam, M. N.
7
2001
Existence and comparison of smallest eigenvalues for a fractional boundary-value problem. Zbl 1302.34006
Eloe, Paul W.; Neugebauer, Jeffrey T.
7
2014
Criteria for right disfocality of linear difference equations. Zbl 0603.39002
Eloe, Paul W.
7
1986
Positive solutions of boundary value problems for ordinary differential equations with impulse. Zbl 0903.34013
Eloe, Paul W.; Henderson, Johnny
7
1998
Singular nonlinear \((n-1,1)\) conjugate boundary value problems. Zbl 0882.34029
Eloe, Paul W.; Henderson, Johnny
7
1997
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
7
2010
Smallest eigenvalues for a right focal boundary value problem. Zbl 1342.34011
Eloe, Paul; Neugebauer, Jeffrey T.
7
2016
Mittag-Leffler stability of systems of fractional nabla difference equations. Zbl 1423.39020
Eloe, Paul; Jonnalagadda, Jaganmohan
7
2019
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
7
2011
A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030
Eloe, P. W.; Hilger, S.; Sheng, Q.
6
2006
Some analogues of Markov and Descartes systems for right disfocality. Zbl 0627.34018
Eloe, P. W.; Henderson, Johnny
6
1987
Analogues of Fekete and Descartes systems of solutions for difference equations. Zbl 0695.39003
Eloe, Paul W.; Henderson, Johnny
6
1989
A boundary value problem on an unbounded domain. Zbl 0981.34017
Eloe, Paul W.; Grimm, Louis J.; Mashburn, Joe D.
6
2000
The method of quasilinearization and dynamic equations on compact measure chains. Zbl 1002.65081
Eloe, Paul W.
6
2002
Sign properties of Green’s functions for a family of two-point boundary value problems. Zbl 0795.34010
Eloe, Paul W.; Ridenhour, Jerry
6
1994
Focal point characterizations and comparisons for right focal differential operators. Zbl 0834.47044
Eloe, Paul W.; Henderson, Johnny
6
1994
Conjugate points for fractional differential equations. Zbl 1305.34012
Eloe, Paul; Neugebauer, Jeffrey T.
6
2014
Upper and lower solution method for boundary value problems at resonance. Zbl 1363.34063
Mosa, Samerah Al; Eloe, Paul
6
2016
Existence, uniqueness and constructive results for delay differential equations. Zbl 1112.34042
Eloe, Paul W.; Raffoul, Youssef N.; Tisdell, Christopher C.
5
2005
Countable positive solutions of a conjugate boundary value problem. Zbl 1108.34307
Eloe, Paul W.; Henderson, Johnny; Kosmatov, Nickolai
5
2000
Quadratic convergence of approximate solutions to two-point boundary value problems with impulse. Zbl 0915.34017
Doddaballapur, Vidya; Eloe, Paul W.; Zhang, Yongzhi
5
1997
Eventual disconjugacy and right disfocality of linear difference equations. Zbl 0615.39002
Eloe, P. W.
5
1988
The quasilinearization method on an unbounded domain. Zbl 1036.34007
Eloe, Paul W.
5
2003
Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions. Zbl 1029.34010
Eloe, P.; Hristova, S. G.
5
2002
Differentiability with respect to boundary conditions and deviating argument for functional differential systems. Zbl 0872.34043
Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny
5
1993
Quasilinearization and boundary value problems for Riemann-Liouville fractional differential equations. Zbl 07057079
Eloe, Paul W.; Jonnalagadda, Jaganmohan
5
2019
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.
5
2019
Twin solutions for nonlinear multipoint conjugate boundary value problems. Zbl 0942.34016
Eloe, Paul W.; Henderson, Johnny
5
1999
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.
5
2016
Monotone iteration and Green’s functions for boundary value problems. Zbl 0442.34027
Eloe, P. W.; Grimm, L. J.
4
1980
Singular nonlinear multipoint conjugate boundary value problems. Zbl 0903.34016
Eloe, P. W.; Henderson, J.
4
1998
Existence of solutions for \(2n\)th order nonlinear generalized Sturm-Liouville boundary value problems. Zbl 0994.34007
Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny
4
2001
Inequalities for solutions of multipoint boundary value problems. Zbl 0954.34010
Eloe, Paul W.; Henderson, Johnny
4
1999
Positive solutions and \(J\)-focal points for two point boundary value problems. Zbl 0773.34015
Eloe, Paul W.; Hankerson, Darrel; Henderson, Johnny
4
1992
Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions. Zbl 1489.34012
Eloe, Paul W.; Neugebauer, Jeffrey T.
4
2021
A Leggett-Williams type theorem applied to a fourth order problem. Zbl 1273.34024
Avery, Richard; Eloe, Paul; Henderson, Johnny
3
2012
Upper and lower solutions for regime-switching diffusions with applications in financial mathematics. Zbl 1238.91131
Eloe, P.; Liu, R. H.
3
2011
Singular boundary value problems for quasi-differential equations. Zbl 0886.34016
Eloe, Paul W.; Henderson, Johnny
3
1995
Stability properties and integrability of the resolvent of linear Volterra equations. Zbl 0826.45004
Eloe, Paul; Islam, Muhammad
3
1995
Optimal intervals for third order Lipschitz equations. Zbl 0723.34017
Eloe, Paul W.; Henderson, Johnny
3
1989
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
3
2012
Concavity in fractional calculus. Zbl 1499.26012
Eloe, Paul W.; Neugebauer, Jeffrey T.
3
2018
A comparison theorem for linear difference equations. Zbl 0652.39003
Eloe, P. W.
3
1988
On nonresonance impulsive functional differential equations with periodic boundary conditions. Zbl 0983.34077
Benchohra, Mouffak; Eloe, Paul W.
3
2001
Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization. Zbl 1046.34036
Eloe, P. W.; Sheng, Q.
3
2004
Positive solutions of boundary-value problems for disfocal ordinary differential equations. Zbl 0897.34022
Eloe, Paul W.
3
1998
A continuation of the discussion on cross symmetry of solutions. Zbl 1056.34014
Eloe, Paul W.; Sheng, Qin
3
2003
Multipoint boundary value problems for functional differential equations. Zbl 0841.34068
Eloe, Paul W.; Henderson, Johnny; Taunton, Denise
3
1995
Bifurcation from infinity and higher order ordinary differential equations. Zbl 0845.34045
Coyle, Joe; Eloe, Paul W.; Henderson, Johnny
3
1995
Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions. Zbl 1489.34012
Eloe, Paul W.; Neugebauer, Jeffrey T.
4
2021
Quasilinearization and boundary value problems at resonance. Zbl 1466.34024
Alanazi, Kareem; Alshammari, Meshal; Eloe, Paul
1
2021
Quasilinearization applied to boundary value problems at resonance for Riemann-Liouville fractional differential equations. Zbl 1460.34011
Eloe, Paul; Jonnalagadda, Jaganmohan
3
2020
Two-point boundary value problems for ordinary differential equations, uniqueness implies existence. Zbl 1452.34035
Eloe, Paul W.; Henderson, Johnny
2
2020
Three point boundary value problems for ordinary differential equations, uniqueness implies existence. Zbl 1474.34126
Eloe, Paul; Henderson, Johnny; Neugebauer, Jeffrey T.
1
2020
Mittag-Leffler stability of systems of fractional nabla difference equations. Zbl 1423.39020
Eloe, Paul; Jonnalagadda, Jaganmohan
7
2019
Quasilinearization and boundary value problems for Riemann-Liouville fractional differential equations. Zbl 07057079
Eloe, Paul W.; Jonnalagadda, Jaganmohan
5
2019
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.
5
2019
The large contraction principle and existence of periodic solutions for infinite delay Volterra difference equations. Zbl 1429.39008
Eloe, Paul; Jonnalagadda, Jagan Mohan; Raffoul, Youssef
2
2019
Avery fixed point theorem applied to Hammerstein integral equations. Zbl 07115558
Eloe, Paul W.; Neugebauer, Jeffrey T.
2
2019
Initial value problems for Caputo fractional differential equations. Zbl 1499.34044
Eloe, Paul W.; Masthay, Tyler
9
2018
Concavity in fractional calculus. Zbl 1499.26012
Eloe, Paul W.; Neugebauer, Jeffrey T.
3
2018
Uniqueness of solutions of boundary value problems at resonance. Zbl 1412.34083
Aljedani, Jabr; Eloe, Paul
3
2018
Smallest eigenvalues for a right focal boundary value problem. Zbl 1342.34011
Eloe, Paul; Neugebauer, Jeffrey T.
7
2016
Upper and lower solution method for boundary value problems at resonance. Zbl 1363.34063
Mosa, Samerah Al; Eloe, Paul
6
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.
5
2016
Nonlinear interpolation and boundary value problems. Zbl 1385.34003
Eloe, Paul W.; Henderson, Johnny
2
2016
Fixed points and solutions of boundary value problems at resonance. Zbl 1351.34020
Almansour, Alaa; Eloe, Paul
2
2015
Existence and comparison of smallest eigenvalues for a fractional boundary-value problem. Zbl 1302.34006
Eloe, Paul W.; Neugebauer, Jeffrey T.
7
2014
Conjugate points for fractional differential equations. Zbl 1305.34012
Eloe, Paul; Neugebauer, Jeffrey T.
6
2014
Existence and uniqueness of solutions for impulsive fractional differential equations. Zbl 1334.34019
Rehman, Mujeeb Ur; Eloe, Paul W.
32
2013
Concavity of solutions of a \(2n\)-th order problem with symmetry. Zbl 1288.34021
Al Twaty, Abdulmalik; Eloe, Paul W.
2
2013
An example employing convexity in functional fixed point arguments. Zbl 1303.47087
Avery, Richard I.; Eloe, Paul W.; Henderson, Johnny
1
2013
Gronwall’s inequality on discrete fractional calculus. Zbl 1268.26029
Atıcı, Ferhan M.; Eloe, Paul W.
54
2012
A Leggett-Williams type theorem applied to a fourth order problem. Zbl 1273.34024
Avery, Richard; Eloe, Paul; Henderson, Johnny
3
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
3
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
2
2012
Bifurcations in steady state solutions of a class of nonlinear dispersive wave equations. Zbl 1305.35129
Eloe, Paul; Usman, Muhammad
2
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.
1
2012
Two-point boundary value problems for finite fractional difference equations. Zbl 1215.39002
Atıcı, Ferhan M.; Eloe, Paul W.
145
2011
Linear systems of fractional nabla difference equations. Zbl 1218.39003
Atici, Ferhan M.; Eloe, Paul W.
87
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
7
2011
Upper and lower solutions for regime-switching diffusions with applications in financial mathematics. Zbl 1238.91131
Eloe, P.; Liu, R. H.
3
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.
1
2011
Optimal intervals for uniqueness of solutions for nonlocal boundary value problems. Zbl 1235.34055
Eloe, Paul W.; Henderson, Johnny
1
2011
Fully nonlinear boundary value problems with impulse. Zbl 1340.34116
Eloe, Paul; Usman, M.
1
2011
A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices. Zbl 1275.34005
Ahmad, Bashir; Eloe, Paul
14
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
7
2010
Initial value problems in discrete fractional calculus. Zbl 1166.39005
Atici, Ferhan M.; Eloe, Paul W.
342
2009
Discrete fractional calculus with the nabla operator. Zbl 1189.39004
Atici, F. M.; Eloe, P.
215
2009
Double barrier option under regime-switching exponential mean-reverting process. Zbl 1163.91393
Eloe, P.; Liu, R. H.; Sun, J. Y.
10
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.
19
2008
Fractional \(q\)-calculus on a time scale. Zbl 1157.81315
Atici, Ferhan M.; Eloe, Paul W.
93
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
18
2007
Multiple solutions of a boundary value problem on an unbounded domain. Zbl 1108.34024
Eloe, Paul W.; Kaufmann, Eric R.; Tisdell, Christopher C.
14
2006
A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030
Eloe, P. W.; Hilger, S.; Sheng, Q.
6
2006
Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions. Zbl 1074.34022
Eloe, Paul W.; Ahmad, Bashir
85
2005
Existence, uniqueness and constructive results for delay differential equations. Zbl 1112.34042
Eloe, Paul W.; Raffoul, Youssef N.; Tisdell, Christopher C.
5
2005
Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization. Zbl 1046.34036
Eloe, P. W.; Sheng, Q.
3
2004
Maximum principles for a family of nonlocal boundary value problems. Zbl 1083.39018
Eloe, Paul W.
2
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.
12
2003
Uniform asymptotic stability in nonlinear Volterra discrete systems. Zbl 1051.39003
Eloe, P. W.; Islam, M. N.; Raffoul, Y. N.
10
2003
The quasilinearization method on an unbounded domain. Zbl 1036.34007
Eloe, Paul W.
5
2003
A continuation of the discussion on cross symmetry of solutions. Zbl 1056.34014
Eloe, Paul W.; Sheng, Qin
3
2003
Sign properties of Green’s functions for disconjugate dynamic equations on time scales. Zbl 1054.34023
Eloe, Paul W.
2
2003
Upper and lower solution methods for fully nonlinear boundary value problems. Zbl 1019.34015
Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny
64
2002
The method of quasilinearization and a three-point boundary value problem. Zbl 1012.34014
Eloe, Paul W.; Gao, Yang
18
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.
14
2002
The quasilinearization method for boundary value problems on time scales. Zbl 1021.34006
Atici, F. Merdivenci; Eloe, P. W.; Kaymakçalan, B.
12
2002
The method of quasilinearization and dynamic equations on compact measure chains. Zbl 1002.65081
Eloe, Paul W.
6
2002
Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions. Zbl 1029.34010
Eloe, P.; Hristova, S. G.
5
2002
Positive solutions of nonlinear functional difference equations. Zbl 0998.39003
Eloe, P. W.; Raffoul, Y.; Reid, D. T.; Yin, K. C.
20
2001
Monotone methods and fourth order Lidstone boundary value problems with impulse effects. Zbl 1084.34507
Eloe, P. W.; Islam, M. N.
7
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
4
2001
On nonresonance impulsive functional differential equations with periodic boundary conditions. Zbl 0983.34077
Benchohra, Mouffak; Eloe, Paul W.
3
2001
Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions. Zbl 0957.34033
Bohner, Martin; Eloe, Paul W.
25
2000
Extremal points for impulsive Lidstone boundary value problems. Zbl 0963.34022
Eloe, P. W.; Henderson, J.; Thompson, H. B.
19
2000
Uniform asymptotic stability in linear Volterra integrodifferential equations with application to delay systems. Zbl 0970.45004
Eloe, Paul; Islam, Muhammad; Zhang, Bo
10
2000
Nonlinear eigenvalue problems for higher order Lidstone boundary value problems. Zbl 0948.34013
Eloe, Paul W.
8
2000
A boundary value problem on an unbounded domain. Zbl 0981.34017
Eloe, Paul W.; Grimm, Louis J.; Mashburn, Joe D.
6
2000
Countable positive solutions of a conjugate boundary value problem. Zbl 1108.34307
Eloe, Paul W.; Henderson, Johnny; Kosmatov, Nickolai
5
2000
Comparison of Green’s functions for a family of multipoint boundary value problems. Zbl 0964.34012
Eloe, Paul W.; Zhang, Lingqin
3
2000
Triple positive solutions and dependence on higher order derivatives. Zbl 0935.34020
Davis, John M.; Eloe, Paul W.; Henderson, Johnny
76
1999
Comparison of eigenvalues for discrete Lidstone boundary value problems. Zbl 0941.39009
Davis, John M.; Eloe, Paul W.; Henderson, Johny
17
1999
Twin solutions for nonlinear multipoint conjugate boundary value problems. Zbl 0942.34016
Eloe, Paul W.; Henderson, Johnny
5
1999
Inequalities for solutions of multipoint boundary value problems. Zbl 0954.34010
Eloe, Paul W.; Henderson, Johnny
4
1999
Triple positive solutions for multipoint conjugate boundary value problems. Zbl 0942.34014
Davis, John M.; Eloe, Paul W.; Henderson, Johnny
1
1999
A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations. Zbl 0939.34019
Eloe, Paul W.; Zhang, Yongzhi
21
1998
A generalization of concavity for finite differences. Zbl 0933.39038
Eloe, P. W.
19
1998
Positive solutions and nonlinear \((k,n-k)\) conjugate eigenvalue problems. Zbl 1003.34018
Eloe, Paul W.; Henderson, Johnny
18
1998
Multiple positive solutions for difference equations. Zbl 1005.39502
Eloe, Paul W.; Henderson, Johnny; Kaufmann, Eric R.
9
1998
Positive solutions of boundary value problems for ordinary differential equations with impulse. Zbl 0903.34013
Eloe, Paul W.; Henderson, Johnny
7
1998
Singular nonlinear multipoint conjugate boundary value problems. Zbl 0903.34016
Eloe, P. W.; Henderson, J.
4
1998
Positive solutions of boundary-value problems for disfocal ordinary differential equations. Zbl 0897.34022
Eloe, Paul W.
3
1998
Monotone and quadratic convergence of approximate solutions of ordinary differential equations with impulse. Zbl 0901.34017
Doddaballapur, V.; Eloe, P. W.
2
1998
Positive solutions and conjugate points for a boundary value problem with impulse. Zbl 0945.34012
Eloe, Paul W.; Sokol, Michael
2
1998
Positive solutions for \((n-1,1)\) conjugate boundary value problems. Zbl 0871.34015
Eloe, Paul W.; Henderson, Johnny
71
1997
Singular nonlinear \((k,n-k)\) conjugate boundary value problems. Zbl 0870.34031
Eloe, Paul W.; Henderson, Johnny
47
1997
Positive solutions and nonlinear multipoint conjugate eigenvalue problems. Zbl 0888.34013
Eloe, Paul W.; Henderson, Johnny
26
1997
Inequalities based on a generalization of concavity. Zbl 0868.34008
Eloe, Paul W.; Henderson, Johnny
20
1997
A boundary value problem for a system of ordinary differential equations with impulse effects. Zbl 0902.34014
Eloe, Paul W.; Henderson, Johnny
11
1997
Singular nonlinear \((n-1,1)\) conjugate boundary value problems. Zbl 0882.34029
Eloe, Paul W.; Henderson, Johnny
7
1997
Quadratic convergence of approximate solutions to two-point boundary value problems with impulse. Zbl 0915.34017
Doddaballapur, Vidya; Eloe, Paul W.; Zhang, Yongzhi
5
1997
Positive solutions of three point boundary value problems. Zbl 0874.34022
Eloe, Paul W.; McKelvey, Janet
2
1997
Positive solutions for two-point boundary value problems. Zbl 0876.34016
Eloe, Paul W.; Henderson, Johnny; Wong, Patricia J. Y.
14
1996
A singular boundary value problem for a right disfocal linear differential operator. Zbl 0857.34029
Eloe, Paul W.; Kaufmann, Eric R.
2
1996
Right focal boundary value problems with impulse effects. Zbl 0876.34010
Eloe, Paul W.; Henderson, Johnny; Khan, Tarique
1
1996
Sign properties of Green’s functions for difference equations. Zbl 0843.39009
Eloe, Paul W.; Peil, Timothy
1
1996
Positive solutions for higher order ordinary differential equations. Zbl 0814.34017
Eloe, Paul W.; Henderson, Johnny
40
1995
Singular boundary value problems for quasi-differential equations. Zbl 0886.34016
Eloe, Paul W.; Henderson, Johnny
3
1995
...and 32 more Documents
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Cited by 1,249 Authors

79 Agarwal, Ravi P.
68 Henderson, Johnny Lee
49 Eloe, Paul W.
44 Abdeljawad, Thabet
43 Băleanu, Dumitru I.
43 O’Regan, Donal
43 Wong, Patricia J. Y.
41 Goodrich, Christopher S.
32 Ahmad, Bashir
29 Jonnalagadda, Jagan Mohan
28 Wu, Guocheng
25 Graef, John R.
25 Ntouyas, Sotiris K.
23 Ge, Weigao
20 Alzabut, Jehad O.
20 Merdivenci Atici, Ferhan
20 Yang, Bo
19 Lizama, Carlos
18 Kong, Lingju
18 Liu, Yuji
18 Ouannas, Adel
17 Jia, Baoguo
16 Al-saedi, Ahmed Eid Salem
16 Khennaoui, Amina-Aicha
16 Peterson, Allan C.
16 Raffoul, Youssef Naim
16 Sitthiwirattham, Thanin
14 Grassi, Giuseppe
14 Liu, Lishan
14 Neugebauer, Jeffrey Thomas
13 Nieto Roig, Juan Jose
12 Pham, Viet-Thanh
12 Sun, Jianping
12 Ur Rehman, Mujeeb
11 Erbe, Lynn Harry
11 Jarad, Fahd
11 Rezapour, Shahram
11 Wu, Yonghong
10 Bendoukha, Samir
10 Guo, Yanping
10 Kong, Qingkai
10 Pei, Minghe
10 Samei, Mohammad Esmael
10 Selvam, A. George Maria
10 Sun, Shurong
9 Bohner, Martin J.
9 Chen, Huiqin
9 Chu, Yuming
9 Davis, John M.
9 Du, Feifei
9 Hao, Xin’an
9 Kang, Shugui
9 Kaufmann, Eric R.
9 Luca, Rodica
9 Sheng, Qin
9 Tariboon, Jessada
9 Wang, Guotao
9 Zhou, Yong
8 Anderson, Douglas Robert
8 Cabada, Alberto
8 Chyan, Chuan Jen
8 Dahal, Rajendra
8 Feng, Meiqiang
8 Ferreira, Rui A. C.
8 Han, Zhenlai
8 Hou, Chengmin
8 Khan, Rahmat Ali
8 Ma, Ruyun
8 Rashid, Saima
8 Wei, Zhongli
8 Zhang, Lihong
7 Benchohra, Mouffak
7 Burton, Theodore Allen
7 Chen, Fulai
7 Dassios, Ioannis K.
7 Guseinov, Gusein Sh.
7 Huang, Lanlan
7 Ji, Jun
7 Jiang, Daqing
7 Li, Wan-Tong
7 Lu, Qinyun
7 Mohammed, Pshtiwan Othman
7 Mozyrska, Dorota
7 Pawłuszewicz, Ewa
7 Xu, Jiafa
7 Zhu, Yuanguo
6 Adiguzel, Hakan
6 Ardjouni, Abdelouaheb
6 Čermák, Jan
6 Chen, Churong
6 Chen, Haibo
6 Cui, Yujun
6 Kaymakçalan, Billur
6 Lan, Kunquan
6 Luo, Zhiguo
6 Lv, Weidong
6 Lyons, Jeffrey W.
6 Minhós, Feliz Manuel
6 Murillo-Arcila, Marina
6 Prasad, Kapula Rajendra
...and 1,149 more Authors
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Cited in 216 Serials

104 Advances in Difference Equations
80 Journal of Mathematical Analysis and Applications
71 Computers & Mathematics with Applications
63 Applied Mathematics and Computation
63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
50 Boundary Value Problems
49 Applied Mathematics Letters
46 Journal of Difference Equations and Applications
43 Journal of Computational and Applied Mathematics
41 Abstract and Applied Analysis
31 Fractional Calculus & Applied Analysis
29 Discrete Dynamics in Nature and Society
28 Mathematical and Computer Modelling
24 Journal of Applied Mathematics and Computing
22 Mathematical Methods in the Applied Sciences
21 Rocky Mountain Journal of Mathematics
19 Chaos, Solitons and Fractals
19 Fractals
19 Journal of Inequalities and Applications
16 Communications in Nonlinear Science and Numerical Simulation
16 Nonlinear Analysis. Theory, Methods & Applications
15 Applicable Analysis
14 Fractional Differential Calculus
13 Journal of Differential Equations
12 Proceedings of the American Mathematical Society
11 Turkish Journal of Mathematics
11 Mathematical Problems in Engineering
11 Differential Equations and Applications
10 Differential Equations and Dynamical Systems
10 Nonlinear Analysis. Real World Applications
10 AIMS Mathematics
8 Chaos
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Mathematische Nachrichten
7 Mathematica Slovaca
7 Filomat
7 Positivity
7 Nonlinear Analysis. Modelling and Control
7 Mediterranean Journal of Mathematics
6 Physica A
6 Zeitschrift für Analysis und ihre Anwendungen
6 Opuscula Mathematica
6 Discrete and Continuous Dynamical Systems
6 Nonlinear Dynamics
6 Journal of Applied Mathematics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Electronic Journal of Differential Equations (EJDE)
5 Analysis (München)
5 Qualitative Theory of Dynamical Systems
5 Discrete and Continuous Dynamical Systems. Series S
5 Journal of Applied Analysis and Computation
4 Archiv der Mathematik
4 Czechoslovak Mathematical Journal
4 Demonstratio Mathematica
4 Journal of Optimization Theory and Applications
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Complexity
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Cubo
4 Involve
4 Journal of Nonlinear Science and Applications
4 Advances in Differential Equations and Control Processes
4 Afrika Matematika
4 Mathematical Sciences
4 Journal of Function Spaces
3 Israel Journal of Mathematics
3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
3 Applied Mathematics and Optimization
3 Automatica
3 International Journal of Mathematics and Mathematical Sciences
3 Results in Mathematics
3 Applied Mathematics and Mechanics. (English Edition)
3 Applications of Mathematics
3 International Journal of Computer Mathematics
3 Applied Mathematics. Series B (English Edition)
3 Journal of Mathematical Sciences (New York)
3 Arab Journal of Mathematical Sciences
3 Journal of Applied Analysis
3 Vietnam Journal of Mathematics
3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
3 Kragujevac Journal of Mathematics
3 Applied Mathematics E-Notes
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Proyecciones
3 Advances in Mathematical Physics
3 Journal of Mathematical Extension
2 Ukrainian Mathematical Journal
2 Information Sciences
2 Quaestiones Mathematicae
2 Circuits, Systems, and Signal Processing
2 Acta Applicandae Mathematicae
2 Bulletin of the Iranian Mathematical Society
2 Applied Numerical Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Neural Networks
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Linear Algebra and its Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Georgian Mathematical Journal
...and 116 more Serials
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Cited in 41 Fields

821 Ordinary differential equations (34-XX)
581 Difference and functional equations (39-XX)
391 Real functions (26-XX)
266 Operator theory (47-XX)
98 Numerical analysis (65-XX)
59 Integral equations (45-XX)
51 Systems theory; control (93-XX)
48 Partial differential equations (35-XX)
32 Special functions (33-XX)
31 Dynamical systems and ergodic theory (37-XX)
28 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
25 Biology and other natural sciences (92-XX)
20 Integral transforms, operational calculus (44-XX)
18 Probability theory and stochastic processes (60-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
10 Mechanics of deformable solids (74-XX)
9 Information and communication theory, circuits (94-XX)
8 Combinatorics (05-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Functional analysis (46-XX)
7 Statistics (62-XX)
5 Approximations and expansions (41-XX)
5 Computer science (68-XX)
5 Mechanics of particles and systems (70-XX)
4 Measure and integration (28-XX)
4 Abstract harmonic analysis (43-XX)
3 General topology (54-XX)
3 Quantum theory (81-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General and overarching topics; collections (00-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Fluid mechanics (76-XX)
2 Operations research, mathematical programming (90-XX)
1 Number theory (11-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

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