Edit Profile (opens in new tab) Eloe, Paul W. Compute Distance To: Compute Author ID: eloe.paul-w Published as: Eloe, Paul W.; Eloe, P. W.; Eloe, Paul; Eloe, P. more...less Documents Indexed: 156 Publications since 1980, including 1 Book 1 Contribution as Editor · 1 Further Contribution Co-Authors: 63 Co-Authors with 141 Joint Publications 1,456 Co-Co-Authors all top 5 Co-Authors 15 single-authored 61 Henderson, Johnny Lee 10 Neugebauer, Jeffrey Thomas 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 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, Bo 1 Zhang, Lingqin 1 Zhang, Qing 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 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 all top 5 Fields 127 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 1,940 times in 1,249 Documents Cited by ▼ Year ▼ Initial value problems in discrete fractional calculus. Zbl 1166.39005Atici, Ferhan M.; Eloe, Paul W. 291 2009 Discrete fractional calculus with the nabla operator. Zbl 1189.39004Atici, F. M.; Eloe, P. 167 2009 Two-point boundary value problems for finite fractional difference equations. Zbl 1215.39002Atıcı, Ferhan M.; Eloe, Paul W. 126 2011 Fractional \(q\)-calculus on a time scale. Zbl 1157.81315Atici, Ferhan M.; Eloe, Paul W. 82 2007 Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions. Zbl 1074.34022Eloe, Paul W.; Ahmad, Bashir 77 2005 Triple positive solutions and dependence on higher order derivatives. Zbl 0935.34020Davis, John M.; Eloe, Paul W.; Henderson, Johnny 75 1999 Linear systems of fractional nabla difference equations. Zbl 1218.39003Atici, Ferhan M.; Eloe, Paul W. 73 2011 Positive solutions for \((n-1,1)\) conjugate boundary value problems. Zbl 0871.34015Eloe, Paul W.; Henderson, Johnny 69 1997 Upper and lower solution methods for fully nonlinear boundary value problems. Zbl 1019.34015Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny 60 2002 Singular nonlinear \((k,n-k)\) conjugate boundary value problems. Zbl 0870.34031Eloe, Paul W.; Henderson, Johnny 44 1997 Gronwall’s inequality on discrete fractional calculus. Zbl 1268.26029Atıcı, Ferhan M.; Eloe, Paul W. 44 2012 Singular nonlinear boundary value problems for higher order ordinary differential equations. Zbl 0731.34015Eloe, Paul W.; Henderson, Johnny 35 1991 Existence and uniqueness of solutions for impulsive fractional differential equations. Zbl 1334.34019Rehman, Mujeeb Ur; Eloe, Paul W. 28 2013 Positive solutions and nonlinear multipoint conjugate eigenvalue problems. Zbl 0888.34013Eloe, Paul W.; Henderson, Johnny 25 1997 Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions. Zbl 0957.34033Bohner, Martin; Eloe, Paul W. 25 2000 A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations. Zbl 0939.34019Eloe, Paul W.; Zhang, Yongzhi 20 1998 Positive solutions of nonlinear functional difference equations. Zbl 0998.39003Eloe, P. W.; Raffoul, Y.; Reid, D. T.; Yin, K. C. 20 2001 A boundary value problem for a system of difference equations. Zbl 0518.39002Eloe, P. W. 19 1983 Inequalities based on a generalization of concavity. Zbl 0868.34008Eloe, Paul W.; Henderson, Johnny 19 1997 A generalization of concavity for finite differences. Zbl 0933.39038Eloe, P. W. 19 1998 Optimal selling rules in a regime-switching exponential Gaussian diffusion model. Zbl 1175.91079Eloe, P.; Liu, R. H.; Yatsuki, M.; Yin, G.; Zhang, Q. 18 2008 The method of quasilinearization and a three-point boundary value problem. Zbl 1012.34014Eloe, Paul W.; Gao, Yang 18 2002 Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for \(n\)th order differential equations. Zbl 1396.34011Eloe, Paul W.; Henderson, Johnny 17 2007 Extremal points for impulsive Lidstone boundary value problems. Zbl 0963.34022Eloe, P. W.; Henderson, J.; Thompson, H. B. 17 2000 Positive solutions and nonlinear \((k,n-k)\) conjugate eigenvalue problems. Zbl 1003.34018Eloe, Paul W.; Henderson, Johnny 17 1998 Comparison of eigenvalues for discrete Lidstone boundary value problems. Zbl 0941.39009Davis, John M.; Eloe, Paul W.; Henderson, Johny 17 1999 Difference equations and multipoint boundary value problems. Zbl 0508.39008Eloe, P. W. 15 1982 Nonlinear boundary value problems and a priori bounds on solutions. Zbl 0547.34015Eloe, P. W.; Henderson, Johnny 14 1984 Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions. Zbl 1027.34013Ahmad, Bashir; Khan, Rahmat Ali; Eloe, Paul W. 14 2002 Positive solutions for higher order ordinary differential equations. Zbl 0814.34017Eloe, Paul W.; Henderson, Johnny 14 1995 Positive solutions and conjugate points for multipoint boundary value problems. Zbl 0760.34022Eloe, Paul W.; Hankerson, Darrel; Henderson, Johnny 14 1992 Positive solutions for two-point boundary value problems. Zbl 0876.34016Eloe, Paul W.; Henderson, Johnny; Wong, Patricia J. Y. 14 1996 A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices. Zbl 1275.34005Ahmad, Bashir; Eloe, Paul 14 2010 Existence of solutions for some singular higher order boundary value problems. Zbl 0795.34016Eloe, P.; Henderson, J. 13 1993 Multiple solutions of a boundary value problem on an unbounded domain. Zbl 1108.34024Eloe, Paul W.; Kaufmann, Eric R.; Tisdell, Christopher C. 13 2006 Sign properties of Green’s functions for two classes of boundary value problems. Zbl 0582.34033Eloe, P. W. 12 1987 The quasilinearization method for boundary value problems on time scales. Zbl 1021.34006Atici, 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 1038.34013Eloe, P. W.; Sheng, Q.; Henderson, J. 11 2003 A boundary value problem for a system of ordinary differential equations with impulse effects. Zbl 0902.34014Eloe, Paul W.; Henderson, Johnny 10 1997 Uniform asymptotic stability in nonlinear Volterra discrete systems. Zbl 1051.39003Eloe, P. W.; Islam, M. N.; Raffoul, Y. N. 10 2003 Nonlinear integrodifferential equations and a priori bounds on periodic solutions. Zbl 0756.45012Burton, T. A.; Eloe, P. W.; Islam, M. N. 10 1992 Double barrier option under regime-switching exponential mean-reverting process. Zbl 1163.91393Eloe, P.; Liu, R. H.; Sun, J. Y. 9 2009 Uniform asymptotic stability in linear Volterra integrodifferential equations with application to delay systems. Zbl 0970.45004Eloe, Paul; Islam, Muhammad; Zhang, Bo 9 2000 Comparison of eigenvalues for a class of two-point boundary value problems. Zbl 0662.34026Eloe, Paul W.; Henderson, Johnny 8 1989 Multiple positive solutions for difference equations. Zbl 1005.39502Eloe, Paul W.; Henderson, Johnny; Kaufmann, Eric R. 8 1998 Multipoint boundary value problems for ordinary differential systems. Zbl 0809.34028Eloe, Paul W.; Henderson, Johnny 8 1994 Focal points and comparison theorems for a class of two point boundary value problems. Zbl 0781.34023Eloe, Paul W.; Henderson, Johnny 8 1993 Nonlinear eigenvalue problems for higher order Lidstone boundary value problems. Zbl 0948.34013Eloe, Paul W. 8 2000 Monotone methods and fourth order Lidstone boundary value problems with impulse effects. Zbl 1084.34507Eloe, P. W.; Islam, M. N. 7 2001 Criteria for right disfocality of linear difference equations. Zbl 0603.39002Eloe, Paul W. 7 1986 Periodic solutions of linear integro-differential equations. Zbl 0725.45006Burton, T. A.; Eloe, P. W.; Islam, M. N. 7 1990 Singular nonlinear \((n-1,1)\) conjugate boundary value problems. Zbl 0882.34029Eloe, Paul W.; Henderson, Johnny 7 1997 Positive solutions of boundary value problems for ordinary differential equations with impulse. Zbl 0903.34013Eloe, Paul W.; Henderson, Johnny 7 1998 Comparison of eigenvalues for a class of multipoint boundary value problems. Zbl 0832.34089Eloe, Paul W.; Henderson, Johnny 7 1992 Uniqueness implies existence and uniqueness conditions for a class of \((k + j)\)-point boundary value problems for \(n\)th order differential equations. Zbl 1242.34033Eloe, Paul; Henderson, Johnny 7 2011 A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030Eloe, P. W.; Hilger, S.; Sheng, Q. 6 2006 Analogues of Fekete and Descartes systems of solutions for difference equations. Zbl 0695.39003Eloe, Paul W.; Henderson, Johnny 6 1989 Existence and comparison of smallest eigenvalues for a fractional boundary-value problem. Zbl 1302.34006Eloe, Paul W.; Neugebauer, Jeffrey T. 6 2014 Sign properties of Green’s functions for a family of two-point boundary value problems. Zbl 0795.34010Eloe, Paul W.; Ridenhour, Jerry 6 1994 Some analogues of Markov and Descartes systems for right disfocality. Zbl 0627.34018Eloe, P. W.; Henderson, Johnny 6 1987 Positive solutions for a system of singular second order nonlocal boundary value problems. Zbl 1206.34044Asif, Naseer Ahmad; Eloe, Paul W.; Khan, Rahmat Ali 6 2010 Conjugate points for fractional differential equations. Zbl 1305.34012Eloe, Paul; Neugebauer, Jeffrey T. 6 2014 Upper and lower solution method for boundary value problems at resonance. Zbl 1363.34063Mosa, Samerah Al; Eloe, Paul 6 2016 Comparison of Green’s functions for a family of boundary value problems for fractional difference equations. Zbl 1431.39002Eloe, Paul W.; Kublik, Catherine M.; Neugebauer, Jeffrey T. 5 2019 Smallest eigenvalues for a right focal boundary value problem. Zbl 1342.34011Eloe, Paul; Neugebauer, Jeffrey T. 5 2016 A boundary value problem on an unbounded domain. Zbl 0981.34017Eloe, Paul W.; Grimm, Louis J.; Mashburn, Joe D. 5 2000 Quadratic convergence of approximate solutions to two-point boundary value problems with impulse. Zbl 0915.34017Doddaballapur, Vidya; Eloe, Paul W.; Zhang, Yongzhi 5 1997 Twin solutions for nonlinear multipoint conjugate boundary value problems. Zbl 0942.34016Eloe, Paul W.; Henderson, Johnny 5 1999 Focal point characterizations and comparisons for right focal differential operators. Zbl 0834.47044Eloe, Paul W.; Henderson, Johnny 5 1994 Eventual disconjugacy and right disfocality of linear difference equations. Zbl 0615.39002Eloe, P. W. 5 1988 Countable positive solutions of a conjugate boundary value problem. Zbl 1108.34307Eloe, Paul W.; Henderson, Johnny; Kosmatov, Nickolai 5 2000 The method of quasilinearization and dynamic equations on compact measure chains. Zbl 1002.65081Eloe, Paul W. 5 2002 The quasilinearization method on an unbounded domain. Zbl 1036.34007Eloe, Paul W. 5 2003 Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions. Zbl 1029.34010Eloe, P.; Hristova, S. G. 5 2002 Differentiability with respect to boundary conditions and deviating argument for functional differential systems. Zbl 0872.34043Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny 4 1993 Existence of solutions for \(2n\)th order nonlinear generalized Sturm-Liouville boundary value problems. Zbl 0994.34007Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny 4 2001 Singular nonlinear multipoint conjugate boundary value problems. Zbl 0903.34016Eloe, P. W.; Henderson, J. 4 1998 Inequalities for solutions of multipoint boundary value problems. Zbl 0954.34010Eloe, Paul W.; Henderson, Johnny 4 1999 Monotone iteration and Green’s functions for boundary value problems. Zbl 0442.34027Eloe, P. W.; Grimm, L. J. 4 1980 Convolutions and Green’s functions for two families of boundary value problems for fractional differential equations. Zbl 1359.34007Eloe, Paul W.; Neugebauer, Jeffrey T. 4 2016 A comparison theorem for linear difference equations. Zbl 0652.39003Eloe, P. W. 3 1988 Existence, uniqueness and constructive results for delay differential equations. Zbl 1112.34042Eloe, Paul W.; Raffoul, Youssef N.; Tisdell, Christopher C. 3 2005 Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions. Zbl 1489.34012Eloe, Paul W.; Neugebauer, Jeffrey T. 3 2021 Optimal intervals for third order Lipschitz equations. Zbl 0723.34017Eloe, Paul W.; Henderson, Johnny 3 1989 Positive solutions of boundary-value problems for disfocal ordinary differential equations. Zbl 0897.34022Eloe, Paul W. 3 1998 Positive solutions and \(J\)-focal points for two point boundary value problems. Zbl 0773.34015Eloe, Paul W.; Hankerson, Darrel; Henderson, Johnny 3 1992 On nonresonance impulsive functional differential equations with periodic boundary conditions. Zbl 0983.34077Benchohra, Mouffak; Eloe, Paul W. 3 2001 Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization. Zbl 1046.34036Eloe, P. W.; Sheng, Q. 3 2004 Uniqueness implies existence and uniqueness conditions for a class of \((k+j)\)-point boundary value problems for \(n\)-th order differential equations. Zbl 1254.34029Eloe, Paul W.; Henderson, Johnny; Khan, Rahmat Ali 3 2012 Comparison of Green’s functions for a family of multipoint boundary value problems. Zbl 0964.34012Eloe, Paul W.; Zhang, Lingqin 3 2000 Singular boundary value problems for quasi-differential equations. Zbl 0886.34016Eloe, Paul W.; Henderson, Johnny 3 1995 Stability properties and integrability of the resolvent of linear Volterra equations. Zbl 0826.45004Eloe, Paul; Islam, Muhammad 3 1995 Multipoint boundary value problems for functional differential equations. Zbl 0841.34068Eloe, Paul W.; Henderson, Johnny; Taunton, Denise 3 1995 Bifurcation from infinity and higher order ordinary differential equations. Zbl 0845.34045Coyle, Joe; Eloe, Paul W.; Henderson, Johnny 3 1995 Upper and lower solutions for regime-switching diffusions with applications in financial mathematics. Zbl 1238.91131Eloe, P.; Liu, R. H. 3 2011 Mittag-Leffler stability of systems of fractional nabla difference equations. Zbl 1423.39020Eloe, Paul; Jonnalagadda, Jaganmohan 2 2019 Families of boundary conditions for nonlinear ordinary differential equations. Zbl 0563.34019Eloe, P. W.; Henderson, Johnny 2 1985 Fixed points and solutions of boundary value problems at resonance. Zbl 1351.34020Almansour, Alaa; Eloe, Paul 2 2015 Nonlinear interpolation and boundary value problems. Zbl 1385.34003Eloe, Paul W.; Henderson, Johnny 2 2016 Bifurcations in steady state solutions of a class of nonlinear dispersive wave equations. Zbl 1305.35129Eloe, Paul; Usman, Muhammad 2 2012 Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions. Zbl 1489.34012Eloe, Paul W.; Neugebauer, Jeffrey T. 3 2021 Two-point boundary value problems for ordinary differential equations, uniqueness implies existence. Zbl 1452.34035Eloe, Paul W.; Henderson, Johnny 2 2020 Quasilinearization applied to boundary value problems at resonance for Riemann-Liouville fractional differential equations. Zbl 1460.34011Eloe, Paul; Jonnalagadda, Jaganmohan 1 2020 Three point boundary value problems for ordinary differential equations, uniqueness implies existence. Zbl 1474.34126Eloe, Paul; Henderson, Johnny; Neugebauer, Jeffrey T. 1 2020 Comparison of Green’s functions for a family of boundary value problems for fractional difference equations. Zbl 1431.39002Eloe, Paul W.; Kublik, Catherine M.; Neugebauer, Jeffrey T. 5 2019 Mittag-Leffler stability of systems of fractional nabla difference equations. Zbl 1423.39020Eloe, Paul; Jonnalagadda, Jaganmohan 2 2019 Avery fixed point theorem applied to Hammerstein integral equations. Zbl 07115558Eloe, Paul W.; Neugebauer, Jeffrey T. 1 2019 Quasilinearization and boundary value problems for Riemann-Liouville fractional differential equations. Zbl 07057079Eloe, Paul W.; Jonnalagadda, Jaganmohan 1 2019 Uniqueness of solutions of boundary value problems at resonance. Zbl 1412.34083Aljedani, Jabr; Eloe, Paul 1 2018 Initial value problems for Caputo fractional differential equations. Zbl 07449795Eloe, Paul W.; Masthay, Tyler 1 2018 Concavity in fractional calculus. Zbl 07475352Eloe, Paul W.; Neugebauer, Jeffrey T. 1 2018 Upper and lower solution method for boundary value problems at resonance. Zbl 1363.34063Mosa, Samerah Al; Eloe, Paul 6 2016 Smallest eigenvalues for a right focal boundary value problem. Zbl 1342.34011Eloe, Paul; Neugebauer, Jeffrey T. 5 2016 Convolutions and Green’s functions for two families of boundary value problems for fractional differential equations. Zbl 1359.34007Eloe, Paul W.; Neugebauer, Jeffrey T. 4 2016 Nonlinear interpolation and boundary value problems. Zbl 1385.34003Eloe, Paul W.; Henderson, Johnny 2 2016 Fixed points and solutions of boundary value problems at resonance. Zbl 1351.34020Almansour, Alaa; Eloe, Paul 2 2015 Existence and comparison of smallest eigenvalues for a fractional boundary-value problem. Zbl 1302.34006Eloe, Paul W.; Neugebauer, Jeffrey T. 6 2014 Conjugate points for fractional differential equations. Zbl 1305.34012Eloe, Paul; Neugebauer, Jeffrey T. 6 2014 Existence and uniqueness of solutions for impulsive fractional differential equations. Zbl 1334.34019Rehman, Mujeeb Ur; Eloe, Paul W. 28 2013 An example employing convexity in functional fixed point arguments. Zbl 1303.47087Avery, Richard I.; Eloe, Paul W.; Henderson, Johnny 1 2013 Concavity of solutions of a \(2n\)-th order problem with symmetry. Zbl 1288.34021Al Twaty, Abdulmalik; Eloe, Paul W. 1 2013 Gronwall’s inequality on discrete fractional calculus. Zbl 1268.26029Atıcı, Ferhan M.; Eloe, Paul W. 44 2012 Uniqueness implies existence and uniqueness conditions for a class of \((k+j)\)-point boundary value problems for \(n\)-th order differential equations. Zbl 1254.34029Eloe, Paul W.; Henderson, Johnny; Khan, Rahmat Ali 3 2012 Bifurcations in steady state solutions of a class of nonlinear dispersive wave equations. Zbl 1305.35129Eloe, Paul; Usman, Muhammad 2 2012 The role of concavity in applications of Avery type fixed point theorems to higher order differential equations. Zbl 1246.34023Altwaty, Abdulmalik A.; Eloe, Paul 2 2012 A Leggett-Williams type theorem applied to a fourth order problem. Zbl 1273.34024Avery, Richard; Eloe, Paul; Henderson, Johnny 2 2012 Existence and uniqueness conditions for a class of \((k + 4j)\)-point \(n\)-th order boundary value problems. Zbl 1312.34049Eloe, P.; Henderson, J.; Khan, R. A. 1 2012 Two-point boundary value problems for finite fractional difference equations. Zbl 1215.39002Atıcı, Ferhan M.; Eloe, Paul W. 126 2011 Linear systems of fractional nabla difference equations. Zbl 1218.39003Atici, Ferhan M.; Eloe, Paul W. 73 2011 Uniqueness implies existence and uniqueness conditions for a class of \((k + j)\)-point boundary value problems for \(n\)th order differential equations. Zbl 1242.34033Eloe, Paul; Henderson, Johnny 7 2011 Upper and lower solutions for regime-switching diffusions with applications in financial mathematics. Zbl 1238.91131Eloe, P.; Liu, R. H. 3 2011 Fully nonlinear boundary value problems with impulse. Zbl 1340.34116Eloe, Paul; Usman, M. 1 2011 Optimal intervals for uniqueness of solutions for nonlocal boundary value problems. Zbl 1235.34055Eloe, Paul W.; Henderson, Johnny 1 2011 Positive solutions of nonlocal boundary value problem for higher order fractional differential system. Zbl 1253.34017Rehman, Mujeeb Ur; Khan, Rahmat Ali; Eloe, Paul W. 1 2011 A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices. Zbl 1275.34005Ahmad, Bashir; Eloe, Paul 14 2010 Positive solutions for a system of singular second order nonlocal boundary value problems. Zbl 1206.34044Asif, Naseer Ahmad; Eloe, Paul W.; Khan, Rahmat Ali 6 2010 Initial value problems in discrete fractional calculus. Zbl 1166.39005Atici, Ferhan M.; Eloe, Paul W. 291 2009 Discrete fractional calculus with the nabla operator. Zbl 1189.39004Atici, F. M.; Eloe, P. 167 2009 Double barrier option under regime-switching exponential mean-reverting process. Zbl 1163.91393Eloe, P.; Liu, R. H.; Sun, J. Y. 9 2009 Optimal selling rules in a regime-switching exponential Gaussian diffusion model. Zbl 1175.91079Eloe, P.; Liu, R. H.; Yatsuki, M.; Yin, G.; Zhang, Q. 18 2008 Fractional \(q\)-calculus on a time scale. Zbl 1157.81315Atici, Ferhan M.; Eloe, Paul W. 82 2007 Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for \(n\)th order differential equations. Zbl 1396.34011Eloe, Paul W.; Henderson, Johnny 17 2007 Multiple solutions of a boundary value problem on an unbounded domain. Zbl 1108.34024Eloe, Paul W.; Kaufmann, Eric R.; Tisdell, Christopher C. 13 2006 A qualitative analysis on nonconstant graininess of the adaptive grids via time scales. Zbl 1135.65030Eloe, P. W.; Hilger, S.; Sheng, Q. 6 2006 Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions. Zbl 1074.34022Eloe, Paul W.; Ahmad, Bashir 77 2005 Existence, uniqueness and constructive results for delay differential equations. Zbl 1112.34042Eloe, Paul W.; Raffoul, Youssef N.; Tisdell, Christopher C. 3 2005 Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization. Zbl 1046.34036Eloe, P. W.; Sheng, Q. 3 2004 Maximum principles for a family of nonlocal boundary value problems. Zbl 1083.39018Eloe, Paul W. 2 2004 Notes on crossed symmetry solutions of the two-point boundary value problems on time scales. Zbl 1038.34013Eloe, P. W.; Sheng, Q.; Henderson, J. 11 2003 Uniform asymptotic stability in nonlinear Volterra discrete systems. Zbl 1051.39003Eloe, P. W.; Islam, M. N.; Raffoul, Y. N. 10 2003 The quasilinearization method on an unbounded domain. Zbl 1036.34007Eloe, Paul W. 5 2003 Sign properties of Green’s functions for disconjugate dynamic equations on time scales. Zbl 1054.34023Eloe, Paul W. 2 2003 A continuation of the discussion on cross symmetry of solutions. Zbl 1056.34014Eloe, Paul W.; Sheng, Qin 1 2003 Upper and lower solution methods for fully nonlinear boundary value problems. Zbl 1019.34015Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny 60 2002 The method of quasilinearization and a three-point boundary value problem. Zbl 1012.34014Eloe, Paul W.; Gao, Yang 18 2002 Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions. Zbl 1027.34013Ahmad, Bashir; Khan, Rahmat Ali; Eloe, Paul W. 14 2002 The quasilinearization method for boundary value problems on time scales. Zbl 1021.34006Atici, F. Merdivenci; Eloe, P. W.; Kaymakçalan, B. 12 2002 The method of quasilinearization and dynamic equations on compact measure chains. Zbl 1002.65081Eloe, Paul W. 5 2002 Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions. Zbl 1029.34010Eloe, P.; Hristova, S. G. 5 2002 Positive solutions of nonlinear functional difference equations. Zbl 0998.39003Eloe, 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 1084.34507Eloe, P. W.; Islam, M. N. 7 2001 Existence of solutions for \(2n\)th order nonlinear generalized Sturm-Liouville boundary value problems. Zbl 0994.34007Ehme, Jeffrey; Eloe, Paul W.; Henderson, Johnny 4 2001 On nonresonance impulsive functional differential equations with periodic boundary conditions. Zbl 0983.34077Benchohra, Mouffak; Eloe, Paul W. 3 2001 Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions. Zbl 0957.34033Bohner, Martin; Eloe, Paul W. 25 2000 Extremal points for impulsive Lidstone boundary value problems. Zbl 0963.34022Eloe, P. W.; Henderson, J.; Thompson, H. B. 17 2000 Uniform asymptotic stability in linear Volterra integrodifferential equations with application to delay systems. Zbl 0970.45004Eloe, Paul; Islam, Muhammad; Zhang, Bo 9 2000 Nonlinear eigenvalue problems for higher order Lidstone boundary value problems. Zbl 0948.34013Eloe, Paul W. 8 2000 A boundary value problem on an unbounded domain. Zbl 0981.34017Eloe, Paul W.; Grimm, Louis J.; Mashburn, Joe D. 5 2000 Countable positive solutions of a conjugate boundary value problem. Zbl 1108.34307Eloe, Paul W.; Henderson, Johnny; Kosmatov, Nickolai 5 2000 Comparison of Green’s functions for a family of multipoint boundary value problems. Zbl 0964.34012Eloe, Paul W.; Zhang, Lingqin 3 2000 Triple positive solutions and dependence on higher order derivatives. Zbl 0935.34020Davis, John M.; Eloe, Paul W.; Henderson, Johnny 75 1999 Comparison of eigenvalues for discrete Lidstone boundary value problems. Zbl 0941.39009Davis, John M.; Eloe, Paul W.; Henderson, Johny 17 1999 Twin solutions for nonlinear multipoint conjugate boundary value problems. Zbl 0942.34016Eloe, Paul W.; Henderson, Johnny 5 1999 Inequalities for solutions of multipoint boundary value problems. Zbl 0954.34010Eloe, Paul W.; Henderson, Johnny 4 1999 Triple positive solutions for multipoint conjugate boundary value problems. Zbl 0942.34014Davis, 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 0939.34019Eloe, Paul W.; Zhang, Yongzhi 20 1998 A generalization of concavity for finite differences. Zbl 0933.39038Eloe, P. W. 19 1998 Positive solutions and nonlinear \((k,n-k)\) conjugate eigenvalue problems. Zbl 1003.34018Eloe, Paul W.; Henderson, Johnny 17 1998 Multiple positive solutions for difference equations. Zbl 1005.39502Eloe, Paul W.; Henderson, Johnny; Kaufmann, Eric R. 8 1998 Positive solutions of boundary value problems for ordinary differential equations with impulse. Zbl 0903.34013Eloe, Paul W.; Henderson, Johnny 7 1998 Singular nonlinear multipoint conjugate boundary value problems. Zbl 0903.34016Eloe, P. W.; Henderson, J. 4 1998 Positive solutions of boundary-value problems for disfocal ordinary differential equations. Zbl 0897.34022Eloe, Paul W. 3 1998 Positive solutions and conjugate points for a boundary value problem with impulse. Zbl 0945.34012Eloe, Paul W.; Sokol, Michael 2 1998 Monotone and quadratic convergence of approximate solutions of ordinary differential equations with impulse. Zbl 0901.34017Doddaballapur, V.; Eloe, P. W. 2 1998 Positive solutions for \((n-1,1)\) conjugate boundary value problems. Zbl 0871.34015Eloe, Paul W.; Henderson, Johnny 69 1997 Singular nonlinear \((k,n-k)\) conjugate boundary value problems. Zbl 0870.34031Eloe, Paul W.; Henderson, Johnny 44 1997 Positive solutions and nonlinear multipoint conjugate eigenvalue problems. Zbl 0888.34013Eloe, Paul W.; Henderson, Johnny 25 1997 Inequalities based on a generalization of concavity. Zbl 0868.34008Eloe, Paul W.; Henderson, Johnny 19 1997 A boundary value problem for a system of ordinary differential equations with impulse effects. Zbl 0902.34014Eloe, Paul W.; Henderson, Johnny 10 1997 Singular nonlinear \((n-1,1)\) conjugate boundary value problems. Zbl 0882.34029Eloe, Paul W.; Henderson, Johnny 7 1997 Quadratic convergence of approximate solutions to two-point boundary value problems with impulse. Zbl 0915.34017Doddaballapur, Vidya; Eloe, Paul W.; Zhang, Yongzhi 5 1997 Positive solutions of three point boundary value problems. Zbl 0874.34022Eloe, Paul W.; McKelvey, Janet 2 1997 Positive solutions for two-point boundary value problems. Zbl 0876.34016Eloe, Paul W.; Henderson, Johnny; Wong, Patricia J. Y. 14 1996 A singular boundary value problem for a right disfocal linear differential operator. Zbl 0857.34029Eloe, Paul W.; Kaufmann, Eric R. 2 1996 Sign properties of Green’s functions for difference equations. Zbl 0843.39009Eloe, Paul W.; Peil, Timothy 1 1996 Right focal boundary value problems with impulse effects. Zbl 0876.34010Eloe, Paul W.; Henderson, Johnny; Khan, Tarique 1 1996 Positive solutions for higher order ordinary differential equations. Zbl 0814.34017Eloe, Paul W.; Henderson, Johnny 14 1995 Singular boundary value problems for quasi-differential equations. Zbl 0886.34016Eloe, Paul W.; Henderson, Johnny 3 1995 Stability properties and integrability of the resolvent of linear Volterra equations. Zbl 0826.45004Eloe, Paul; Islam, Muhammad 3 1995 Multipoint boundary value problems for functional differential equations. Zbl 0841.34068Eloe, Paul W.; Henderson, Johnny; Taunton, Denise 3 1995 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,106 Authors 76 Agarwal, Ravi P. 67 Henderson, Johnny Lee 48 Eloe, Paul W. 42 Wong, Patricia J. Y. 41 O’Regan, Donal 39 Abdeljawad, Thabet 39 Goodrich, Christopher S. 37 Băleanu, Dumitru I. 29 Ahmad, Bashir 25 Graef, John R. 23 Ge, Weigao 22 Ntouyas, Sotiris K. 19 Wu, Guocheng 19 Yang, Bo 18 Kong, Lingju 17 Liu, Yuji 17 Merdivenci Atici, Ferhan 17 Ouannas, Adel 16 Lizama, Carlos 16 Raffoul, Youssef Naim 16 Sitthiwirattham, Thanin 15 Alzabut, Jehad O. 15 Jia, Baoguo 15 Khennaoui, Amina-Aicha 15 Peterson, Allan C. 14 Liu, Lishan 13 Al-saedi, Ahmed Eid Salem 13 Grassi, Giuseppe 13 Jonnalagadda, Jaganmohan 13 Neugebauer, Jeffrey Thomas 12 Pham, Viet-Thanh 12 Sun, Jianping 11 Jarad, Fahd 11 Ur Rehman, Mujeeb 11 Wu, Yonghong 10 Bendoukha, Samir 10 Erbe, Lynn Harry 10 Guo, Yanping 10 Kong, Qingkai 10 Nieto Roig, Juan Jose 10 Pei, Minghe 10 Rezapour, Shahram 9 Davis, John M. 9 Hao, Xin’an 9 Kaufmann, Eric R. 9 Luca, Rodica 9 Samei, Mohammad Esmael 9 Selvam, A. George Maria 9 Sheng, Qin 9 Sun, Shurong 9 Tariboon, Jessada 9 Wang, Guotao 8 Bohner, Martin J. 8 Chen, Huiqin 8 Chu, Yuming 8 Chyan, Chuan Jen 8 Dahal, Rajendra 8 Feng, Meiqiang 8 Han, Zhenlai 8 Hou, Chengmin 8 Kang, Shugui 8 Khan, Rahmat Ali 8 Ma, Ruyun 8 Rashid, Saima 8 Zhang, Lihong 7 Anderson, Douglas Robert 7 Benchohra, Mouffak 7 Burton, Theodore Allen 7 Cabada, Alberto 7 Ferreira, Rui A. C. 7 Ji, Jun 7 Jiang, Daqing 7 Li, Wan-Tong 7 Mozyrska, Dorota 7 Pawłuszewicz, Ewa 7 Wei, Zhongli 7 Xu, Jiafa 6 Ardjouni, Abdelouaheb 6 Čermák, Jan 6 Chen, Fulai 6 Chen, Haibo 6 Cui, Yujun 6 Du, Feifei 6 Guseinov, Gusein Sh. 6 Huang, Lanlan 6 Kaymakçalan, Billur 6 Lv, Weidong 6 Minhós, Feliz Manuel 6 Prasad, Kapula Rajendra 6 Wang, Guangwa 6 Wang, Yuanming 6 Zhang, Binggen 6 Zhang, Jihui 6 Zhou, Mingru 5 Adiguzel, Hakan 5 Avery, Richard I. 5 Chasreechai, Saowaluck 5 Chen, Churong 5 Dassios, Ioannis K. 5 Islam, Muhammad Nazmul ...and 1,006 more Authors all top 5 Cited in 195 Serials 104 Advances in Difference Equations 77 Journal of Mathematical Analysis and Applications 70 Computers & Mathematics with Applications 63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 60 Applied Mathematics and Computation 46 Boundary Value Problems 45 Applied Mathematics Letters 45 Journal of Difference Equations and Applications 43 Journal of Computational and Applied Mathematics 41 Abstract and Applied Analysis 29 Discrete Dynamics in Nature and Society 27 Mathematical and Computer Modelling 24 Fractional Calculus & Applied Analysis 23 Journal of Applied Mathematics and Computing 21 Rocky Mountain Journal of Mathematics 17 Fractals 17 Journal of Inequalities and Applications 16 Nonlinear Analysis. Theory, Methods & Applications 15 Applicable Analysis 14 Chaos, Solitons and Fractals 11 Journal of Differential Equations 11 Proceedings of the American Mathematical Society 11 Differential Equations and Applications 10 Nonlinear Analysis. Real World Applications 10 Fractional Differential Calculus 10 AIMS Mathematics 9 Mathematical Methods in the Applied Sciences 9 Mathematical Problems in Engineering 8 Differential Equations and Dynamical Systems 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Mathematica Slovaca 7 Turkish Journal of Mathematics 7 Filomat 7 Positivity 7 Chaos 7 Communications in Nonlinear Science and Numerical Simulation 7 Mediterranean Journal of Mathematics 6 Physica A 6 Mathematische Nachrichten 6 Zeitschrift für Analysis und ihre Anwendungen 6 Discrete and Continuous Dynamical Systems 6 Nonlinear Analysis. Modelling and Control 6 Journal of Applied Mathematics 5 Opuscula Mathematica 5 Analysis (München) 4 Archiv der Mathematik 4 Czechoslovak Mathematical Journal 4 Journal of Optimization Theory and Applications 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Complexity 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Nonlinear Science and Applications 4 Advances in Differential Equations and Control Processes 4 Afrika Matematika 3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 3 Applied Mathematics and Optimization 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 Journal of Applied Analysis 3 Nonlinear Dynamics 3 Vietnam Journal of Mathematics 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Kragujevac Journal of Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Proyecciones 3 Involve 3 Journal of Function Spaces 2 Israel Journal of Mathematics 2 Automatica 2 International Journal of Mathematics and Mathematical Sciences 2 Quaestiones Mathematicae 2 Circuits, Systems, and Signal Processing 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 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 Electronic Journal of Differential Equations (EJDE) 2 Georgian Mathematical Journal 2 Arab Journal of Mathematical Sciences 2 International Journal of Theoretical and Applied Finance 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Acta Mathematica Sinica. English Series 2 Journal of Dynamical and Control Systems 2 Qualitative Theory of Dynamical Systems 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Cubo 2 Mathematical Biosciences and Engineering 2 Journal of Fixed Point Theory and Applications 2 Asian-European Journal of Mathematics 2 Advances in Mathematical Physics ...and 95 more Serials all top 5 Cited in 41 Fields 757 Ordinary differential equations (34-XX) 503 Difference and functional equations (39-XX) 309 Real functions (26-XX) 240 Operator theory (47-XX) 86 Numerical analysis (65-XX) 51 Integral equations (45-XX) 43 Partial differential equations (35-XX) 38 Systems theory; control (93-XX) 26 Dynamical systems and ergodic theory (37-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Special functions (33-XX) 23 Biology and other natural sciences (92-XX) 17 Probability theory and stochastic processes (60-XX) 16 Integral transforms, operational calculus (44-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of deformable solids (74-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Information and communication theory, circuits (94-XX) 7 Combinatorics (05-XX) 7 Functional analysis (46-XX) 5 Approximations and expansions (41-XX) 5 Statistics (62-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Measure and integration (28-XX) 4 Abstract harmonic analysis (43-XX) 4 Mechanics of particles and systems (70-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Quantum theory (81-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 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year