Edit Profile Graef, John R. Compute Distance To: Compute Author ID: graef.john-r Published as: Graef, J.; Graef, J. R.; Graef, John; Graef, John R.; Graef, John r. Homepage: http://web2.utc.edu/~wmh647/ External Links: MGP Documents Indexed: 455 Publications since 1971, including 22 Books Biographic References: 2 Publications all top 5 Co-Authors 14 single-authored 90 Kong, Lingju 83 Spikes, Paul W. 44 Yang, Bo 39 Thandapani, Ethiraju 27 Grace, Said Rezk 26 Qian, Chuanxi 25 Bartušek, Miroslav 21 Grammatikopoulos, Myron K. 21 Tunç, Ercan 20 Karsai, János 20 Wang, Min 19 Benchohra, Mouffak 19 Ouahab, Abdelghani 18 Henderson, Johnny Lee 17 Heidarkhani, Shapour 17 Kong, Qingkai 11 Dhage, Bapurao C. 10 Remili, Moussadek 9 Padhi, Seshadev 9 Shivaji, Ratnasingham 7 Pati, Smita 7 Soni, Bharat K. 6 Došlá, Zuzana 6 Zhu, Jianping 5 Hamani, Samira 5 Lim, Hyeona 5 Miciano, Agnes R. 5 Minhós, Feliz Manuel 5 Saker, Samir H. 4 Abbas, Said 4 Koomullil, Roy P. 4 Kusano, Takaŝi 4 Li, Michael Yi 4 Miciano-Cariño, Agnes 4 Panigrahi, Saroj 4 Shokooh, Saeid 4 Sundaram, Palaniappan 4 Tian, Yu 3 Afrouzi, Ghasem Alizadeh 3 Beldjerd, Djamila 3 Dhage, Shyam B. 3 Dogan, Abdulkadir 3 Jaroš, Jaroslav 3 Liu, Xueyan 3 Manuel, M. Maria Susai 3 Moussaoui, Toufik 3 Onose, Hiroshi 3 Savithri, R. 3 Tunç, Cemil 3 Zhu, Jiangping 2 Agarwal, Ravi P. 2 Arul, Ramalingam 2 Belinsky, Boris P. 2 Benmezaï, Abdelhamid 2 Bouriah, Soufyane 2 Dharuman, Chinnappa Pillai 2 Elizabeth, Sebastian 2 Gera, Milan 2 Goddard, Jerome II 2 Greguš, Michal 2 Greguš, Michal jun. 2 Guerraiche, Nassim 2 Hatvani, László 2 Jadlovská, Irena 2 Kar, P. K. 2 Kitamura, Yuichi 2 Kloeden, Peter Eris 2 Lazreg, Jamal Eddine 2 Lehman, Brad 2 Li, Tongxing 2 Liu, Xueyan Sherry 2 Marian, S. Lourdu 2 Mostefai, Fatima-Zohra 2 Muthulakshmi, Velu 2 Ntouyas, Sotiris K. 2 Pandian, Subbiah 2 Pinelas, Sandra 2 Rankin, Samuel Murray III 2 Ravi, Krishnan 2 Reddy, P. Rami 2 Sahay, Deepak 2 Soni, Bela 2 Stavroulakis, Ioannis P. 2 Sundaram, P. N. 2 Wang, Haiyan 2 Wang, Liancheng 2 Zhang, Binggen 1 Abbas, Saïda 1 Ahmad, Bashir 1 Anderson, Douglas Robert 1 Avery, Richard I. 1 Baculíková, Blanka 1 Baitiche, Zidane 1 Baliki, Abdessalam 1 Bartušec, M. 1 Benaissa, Amel 1 Benhamida, Wafaa 1 Blasko, Rudolf 1 Caraballo Garrido, Tomás 1 Darwish, Mohamed Abdalla ...and 59 more Co-Authors all top 5 Serials 24 Journal of Mathematical Analysis and Applications 18 Dynamic Systems and Applications 16 Applicable Analysis 16 Electronic Journal of Qualitative Theory of Differential Equations 15 Electronic Journal of Differential Equations (EJDE) 14 Discrete and Continuous Dynamical Systems 12 Computers & Mathematics with Applications 12 Panamerican Mathematical Journal 11 Applied Mathematics Letters 11 Journal of Difference Equations and Applications 10 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 9 Nonlinear Studies 9 Communications on Applied Nonlinear Analysis 8 Communications in Applied Analysis 7 Fractional Calculus & Applied Analysis 7 Nonlinear Analysis. Theory, Methods & Applications 6 Applied Mathematics and Computation 6 International Journal of Mathematics and Mathematical Sciences 6 Publicationes Mathematicae 6 Differential Equations and Dynamical Systems 5 Funkcialaj Ekvacioj. Serio Internacia 5 Mathematische Nachrichten 5 Mathematica Slovaca 5 Results in Mathematics 5 Bulletin of the Institute of Mathematics. Academia Sinica 5 Opuscula Mathematica 5 Nonlinear Dynamics and Systems Theory 5 International Journal of Pure and Applied Mathematics 4 Czechoslovak Mathematical Journal 4 Journal of Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Applied Mathematics and Computing 4 Journal of Fixed Point Theory and Applications 4 Applicable Analysis and Discrete Mathematics 4 Differential Equations and Applications 4 Journal of Applied Analysis and Computation 4 Trends in Abstract and Applied Analysis 3 Hiroshima Mathematical Journal 3 Indian Journal of Mathematics 3 Pacific Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Topological Methods in Nonlinear Analysis 3 Dynamics of Continuous, Discrete and Impulsive Systems 3 Communications in Mathematical Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Journal of the Australian Mathematical Society, Series B 2 Rocky Mountain Journal of Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Scientiarum Mathematicarum 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archivum Mathematicum 2 Canadian Mathematical Bulletin 2 Fasciculi Mathematici 2 Journal of Computational and Applied Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Stochastic Analysis and Applications 2 Mathematical and Computer Modelling 2 Mathematica Bohemica 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Neural, Parallel & Scientific Computations 2 Journal of Mathematical Sciences (New York) 2 Nonlinear World 2 Functional Differential Equations 2 Abstract and Applied Analysis 2 International Journal of Differential Equations and Applications 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Miskolc Mathematical Notes 2 De Gruyter Series in Nonlinear Analysis and Applications 2 International Journal of Difference Equations 2 International Electronic Journal of Pure and Applied Mathematics 2 Springer Proceedings in Mathematics & Statistics 2 Fractional Differential Calculus 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of the Faculty of Science. Series A. Mathematics 1 Le Matematiche 1 Mathematics and Computers in Simulation 1 Mathematical Journal of Okayama University 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Rendiconti dell’Accademia delle Scienze Fisiche e Matemàtiche. Serie IV 1 Radovi Matematički 1 Annals of Differential Equations 1 Acta Mathematica Universitatis Comenianae. New Series 1 Automation and Remote Control 1 Doklady Bolgarskoĭ Akademii Nauk 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Studia Universitatis Babeş-Bolyai. Mathematica 1 Tatra Mountains Mathematical Publications 1 Georgian Mathematical Journal 1 Neliniĭni Kolyvannya 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Nonlinear Analysis. Real World Applications 1 Applied Mathematics E-Notes 1 Fixed Point Theory 1 International Journal of Applied Mathematical Sciences ...and 9 more Serials all top 5 Fields 365 Ordinary differential equations (34-XX) 81 Difference and functional equations (39-XX) 64 Operator theory (47-XX) 21 Global analysis, analysis on manifolds (58-XX) 18 Partial differential equations (35-XX) 16 Integral equations (45-XX) 15 General and overarching topics; collections (00-XX) 13 Biology and other natural sciences (92-XX) 10 Real functions (26-XX) 10 Numerical analysis (65-XX) 9 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 320 Publications have been cited 2,464 times in 1,790 Documents Cited by ▼ Year ▼ Global dynamics of a SEIR model with varying total population size. Zbl 0974.92029Li, Michael Y.; Graef, John R.; Wang, Liancheng; Karsai, János 204 1999 Existence results for boundary value problems with non-linear fractional differential equations. Zbl 1198.26008Benchohra, Mouffak; Graef, John R.; Hamani, Samira 96 2008 On the generalized Lienard equation with negative damping. Zbl 0254.34038Graef, John R. 63 1972 Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem. Zbl 1203.34028Graef, John R.; Kong, Lingju; Wang, Haiyan 61 2008 Third order boundary value problems with nonlocal boundary conditions. Zbl 1189.34034Graef, John R.; Webb, J. R. L. 52 2009 Positive solutions for a class of higher order boundary value problems with fractional \(q\)-derivatives. Zbl 1254.34010Graef, John R.; Kong, Lingju 51 2012 Positive solutions to a multi-point higher order boundary value problem. Zbl 1101.34004Graef, John R.; Yang, Bo 41 2006 A three point boundary value problem for nonlinear fourth order differential equations. Zbl 1054.34038Graef, John R.; Qian, Chuanxi; Yang, Bo 41 2003 Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions. Zbl 1279.34007Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 36 2012 Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations. Zbl 1046.34037Graef, John R.; Qian, Chuanxi; Yang, Bo 35 2003 Implicit fractional differential and integral equations. Existence and stability. Zbl 1390.34002Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Henderson, Johnny 30 2018 Existence and nonexistence of positive solutions of fourth order nonlinear boundary value problems. Zbl 1031.34025Graef, John R.; Yang, Bo 29 2000 Existence and uniqueness of solutions for a fractional boundary value problem on a graph. Zbl 1308.34012Graef, John R.; Kong, Lingju; Wang, Min 27 2014 On a nonlinear boundary value problem for fourth order equations. Zbl 1031.34017Graef, John R.; Yang, Bo 25 1999 Impulsive differential inclusions. A fixed point approach. Zbl 1285.34002Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 24 2013 On the oscillation of third order neutral delay dynamic equations on time scales. Zbl 1247.34139Grace, Said R.; Graef, John R.; El-Beltagy, Mohamed A. 24 2012 A periodic boundary value problem with vanishing Green’s function. Zbl 1135.34307Graef, John R.; Kong, Lingju; Wang, Haiyan 24 2008 Asymptotic behavior of solutions of a second order nonlinear differential equation. Zbl 0298.34028Graef, John R.; Spikes, Paul W. 23 1975 Positive solutions for a semipositone fractional boundary value problem with a forcing term. Zbl 1284.34032Graef, John R.; Kong, Lingju; Yang, Bo 22 2012 Positive solutions for third order semipositone boundary value problems. Zbl 1173.34313Graef, John R.; Kong, Lingju 22 2009 A variational approach to a Kirchhoff-type problem involving two parameters. Zbl 1275.35108Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 20 2013 Existence results for boundary-value problems with nonlinear fractional differential inclusions and integral conditions. Zbl 1185.26010Hamani, Samira; Benchohra, Mouffak; Graef, John R. 20 2010 Positive solutions of a third order nonlocal boundary value problem. Zbl 1153.34014Graef, John R.; Yang, Bo 20 2008 On the oscillation of higher-order delay differential equations. Zbl 1267.34121Baculíková, B.; Džurina, J.; Graef, J. R. 19 2012 Oscillation and global attractivity in a periodic delay equation. Zbl 0870.34073Graef, J. R.; Qian, C.; Spikes, P. W. 19 1996 Existence of positive solutions to a higher order singular boundary value problem with fractional \(q\)-derivatives. Zbl 1312.39014Graef, John R.; Kong, Lingju 18 2013 Monotone properties of certain classes of solutions of second-order difference equations. Zbl 0933.39014Thandapani, E.; Manuel, M. M. S.; Graef, J. R.; Spikes, P. W. 18 1998 Oscillation theorems for perturbed nonlinear differential equations. Zbl 0405.34035Graef, John R.; Rankin, Samuel M.; Spikes, Paul W. 18 1978 Oscillation of integro-dynamic equations on time scales. Zbl 1261.45005Grace, Said R.; Graef, John R.; Zafer, Ağacık 17 2013 Positive solutions of a nonlinear higher order boundary-value problem. Zbl 1117.34023Graef, John R.; Henderson, Johnny; Yang, Bo 17 2007 Necessary and sufficient conditions for the existence of symmetric positive solutions of multi-point boundary value problems. Zbl 1139.34017Graef, John R.; Kong, Lingju 15 2008 Oscillation of two-dimensional difference systems. Zbl 0964.39012Graef, J. R.; Thandapani, E. 15 1999 Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation. Zbl 0394.34027Graef, John R.; Spikes, Paul W. 15 1978 Periodic solutions of first order functional differential equations. Zbl 1241.34077Graef, John R.; Kong, Lingju 14 2011 Higher order boundary value problems with \(\phi\)-Laplacian and functional boundary conditions. Zbl 1222.34020Graef, John R.; Kong, Lingju; Minhós, Feliz M. 14 2011 A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems. Zbl 1119.34020Graef, John R.; Kong, Lingju 14 2007 Symmetric positive solutions of nonlinear boundary value problems. Zbl 1117.34024Graef, John R.; Kong, Lingju; Kong, Qingkai 14 2007 Oscillation of impulsive neutral delay differential equations. Zbl 1004.34054Graef, J. R.; Shen, J. H.; Stavroulakis, I. P. 14 2002 Oscillation and comparison theorems for half-linear second-order difference equations. Zbl 0983.39006Thandapani, E.; Ravi, K.; Graef, J. R. 14 2001 On stability, ultimate boundedness, and existence of periodic solutions of certain third order differential equations with delay. Zbl 1331.34145Graef, John R.; Beldjerd, Djamila; Remili, Moussadek 13 2015 On the lower and upper solution method for higher order functional boundary value problems. Zbl 1289.34054Graef, John R.; Kong, Lingju; Minhós, Feliz M.; Fialho, João 13 2011 Higher-order singular multi-point boundary-value problems on time scales. Zbl 1223.34122Dogan, Abdulkadir; Graef, John R.; Kong, Lingju 13 2011 A class of \(n\)th-order BVPs with nonlocal conditions. Zbl 1189.34033Graef, John R.; Moussaoui, Toufik 13 2009 Positive solutions of a nonlinear fourth order boundary value problem. Zbl 1136.34024Graef, John R.; Yang, Bo 13 2007 Asymptotic properties of solutions of nonlinear neutral delay differntial equations of the second order. Zbl 0662.34070Graef, John R.; Grammatikopoulos, Myron K.; Spikes, Paul W. 13 1988 Fractional boundary value problems with integral boundary conditions. Zbl 1385.34010Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 12 2013 Necessary and sufficient conditions for the existence of symmetric positive solutions of singular boundary value problems. Zbl 1119.34017Graef, John R.; Kong, Lingju 12 2007 Double solutions of boundary value problems for 2\(m^{\text{th}}\)-order differential equations and difference equations. Zbl 1070.34036Graef, J. R.; Henderson, J. 12 2003 Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order. Zbl 0377.34023Graef, John R. 12 1977 Positive solutions for a fractional boundary value problem. Zbl 1335.34016Graef, John R.; Kong, Lingju; Yang, Bo 11 2016 Existence of multiple periodic solutions for first order functional differential equations. Zbl 1235.34190Graef, John R.; Kong, Lingju 11 2011 Higher order semipositone multi-point boundary value problems on time scales. Zbl 1198.34193Dogan, Abdulkadir; Graef, John R.; Kong, Lingju 11 2010 Oscillation theorems for fourth order functional differential equations. Zbl 1188.34085Grace, Said R.; Agarwal, Ravi P.; Graef, John R. 11 2009 Solutions of second order multi-point boundary value problems. Zbl 1166.34007Graef, John R.; Kong, Lingju 11 2008 Upper and lower solutions method for impulsive differential inclusions with nonlinear boundary conditions and variable times. Zbl 1085.34007Benchohra, M.; Graef, J. R.; Ntouyas, S. K.; Ouahab, A. 11 2005 Oscillatory and asymptotic behavior of fourth order nonlinear delay difference equations. Zbl 1009.39007Graef, John R.; Thandapani, E. 11 2001 Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations. Zbl 0890.39018Graef, John R.; Miciano, Agnes; Spikes, Paul W.; Sundaram, P.; Thandapani, E. 11 1996 Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral delay differential equations. Zbl 0732.34059Graef, John R.; Grammatikopoulos, Myron K.; Spikes, Paul W. 11 1991 Limit circle criteria and related properties for nonlinear equations. Zbl 0441.34024Graef, John R. 11 1980 A nonoscillation result for second order ordinary differential equations. Zbl 0339.34031Graef, J. R.; Spikes, P. W. 11 1975 Stability and square integrability of solutions of nonlinear third order differential equations. Zbl 1326.34088Graef, John R.; Oudjedi, Lynda D.; Remili, Moussadek 10 2015 Continuability and boundedness of multi-delay functional integro-differential equations of the second order. Zbl 1319.34130Graef, John R.; Tunç, Cemil 10 2015 A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems. Zbl 1337.65104Graef, John R.; Kong, Lingju; Wang, Min 10 2014 On oscillatory and asymptotic properties of solutions of certain nonlinear third order differential equations. Zbl 0945.34021Gera, M.; Graef, J. R.; Greguš, M. 10 1998 On the oscillatory behavior of solutions of second order nonlinear differential equations. Zbl 0627.34034Graef, John R.; Spikes, Paul W. 10 1986 On the nonlinear limit-point/limit-circle problem. Zbl 0535.34023Graef, John R.; Spikes, Paul W. 10 1983 Infinitely many solutions for systems of Sturm-Liouville boundary value problems. Zbl 1314.34056Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 9 2014 Existence of multiple solutions to a discrete fourth order periodic boundary value problem. Zbl 1307.39004Graef, John R.; Kong, Lingju; Wang, Min 9 2013 On the oscillatory behavior of Volterra integral equations on time-scales. Zbl 1304.45005Grace, Said R.; Graef, John R.; Panigrahi, Saroj; Tunc, Ercan 9 2013 Multiple solutions for a class of \((p_1, \dots, p_n)\)-biharmonic systems. Zbl 1268.35049Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 9 2013 Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces. Zbl 1206.26006Benchohra, M.; Graef, J. R.; Mostefai, F. 9 2010 Existence of solutions for a higher order multi-point boundary value problem. Zbl 1173.34008Graef, John R.; Kong, Lingju; Yang, Bo 9 2009 Existence results for nonlinear periodic boundary-value problems. Zbl 1178.34024Graef, John R.; Kong, Lingju 9 2009 Three solutions of an \(n\)th order three-point focal type boundary value problem. Zbl 1183.34027Graef, John R.; Henderson, Johnny; Wong, Patricia J. Y.; Yang, Bo 9 2008 Extremal solutions for nonresonance impulsive functional dynamic equations on time scales. Zbl 1135.39009Graef, John R.; Ouahab, Abdelghani 9 2008 Positive solutions of a nonlinear third order eigenvalue problem. Zbl 1106.34013Graef, John R.; Yang, Bo 9 2006 Boundary value problems for second order nonlinear ordinary differential equations. Zbl 1085.34514Graef, John R.; Yang, Bo 9 2002 Oscillatory and asymptotic behavior of solutions of third order delay difference equations. Zbl 1141.39301Graef, John R.; Thandapani, E. 9 1999 Stability in a population model. Zbl 0904.39005Graef, J. R.; Qian, C.; Spikes, P. W. 9 1998 On the asymptotic behavior of solutions of a second order nonlinear neutral delay differential equation. Zbl 0731.34088Graef, John R.; Grammatikopoulos, Myron K.; Spikes, Paul W. 9 1991 Asymptotic behavior of solutions of nonlinear fractional differential equations with Caputo-type Hadamard derivatives. Zbl 1359.34009Graef, John R.; Grace, Said R.; Tunç, Ercan 8 2017 Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem. Zbl 1277.39011Graef, John R.; Kong, Lingju; Wang, Min; Yang, Bo 8 2013 Oscillation theory of third-order nonlinear functional differential equations. Zbl 1272.34092Graef, John R.; Saker, Samir H. 8 2013 A critical points approach for the existence of multiple solutions of a Dirichlet quasilinear system. Zbl 1244.34024Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 8 2012 Weak solutions for boundary-value problems with nonlinear fractional differential inclusions. Zbl 1236.34004Benchohra, M.; Graef, J. R.; Mostefai, F.-Z. 8 2011 Positive solutions to a fourth order boundary value problem. Zbl 1218.34024Graef, John R.; Kong, Lingju; Kong, Qingkai; Yang, Bo 8 2011 Asymptotic results for a class of fourth order quasilinear difference equations. Zbl 1145.39003Thandapani, E.; Pandian, S.; Dhanasekaran, R.; Graef, John R. 8 2007 Some existence and uniqueness results for impulsive functional differential equations with variable times in Fréchet spaces. Zbl 1120.34067Graef, John R.; Ouahab, Abdelghani 8 2007 Asymptotic behavior of forced delay equations with periodic coefficients. Zbl 0903.34061Graef, J. R.; Qian, C. 8 1998 On the behavior of solutions of generalized Emden-Fowler equations with deviating arguments. Zbl 0502.34059Graef, John R.; Grammatikopoulos, Myron K.; Spikes, Paul W. 8 1982 Nonlinear implicit differential equations of fractional order at resonance. Zbl 1358.34008Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R. 7 2016 Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition. Zbl 1340.34015Graef, John; Kong, Lingju; Kong, Qingkai; Wang, Min 7 2013 Infinitely many solutions for systems of multi-point boundary value problems using variational methods. Zbl 1292.34018Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 7 2013 On the oscillatory behavior of even order neutral delay dynamic equations on time-scales. Zbl 1340.34243Grace, Said; Graef, John; Panigrahi, Saroj; Tunc, Ercan 7 2012 Oscillation of third-order nonlinear neutral functional dynamic equations on time scales. Zbl 1278.34107Saker, S. H.; Graef, John R. 7 2012 Periodic solutions of some models with strong Allee effects. Zbl 1238.34067Graef, John R.; Padhi, Seshadev; Pati, Smita 7 2012 First-order singular boundary value problems with \(p\)-Laplacian on time scales. Zbl 1223.34123Graef, John R.; Kong, Lingju 7 2011 Higher order multi-point boundary value problems. Zbl 1222.34019Graef, John R.; Kong, Lingju; Kong, Qingkai 7 2011 Positive solutions to a fourth order three point boundary value problem. Zbl 1198.34024Graef, John R.; Henderson, Johnny; Yang, Bo 7 2009 Existence of solutions for nonlinear boundary value problems. Zbl 1145.34007Graef, John R.; Kong, Lingju 7 2007 Topological methods for differential equations and inclusions. Zbl 1411.34002Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 4 2019 Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term. Zbl 1414.34052Graef, John R.; Grace, Said R.; Tunç, Ercan 3 2019 On the boundedness of nonoscillatory solutions of certain fractional differential equations with positive and negative terms. Zbl 1425.34012Grace, Said R.; Graef, John R.; Tunç, Ercan 2 2019 Multiple anti-periodic solutions to a discrete fourth order nonlinear equation. Zbl 1428.39019Graef, John R.; Kong, Lingju; Liu, Xueyan 1 2019 Implicit fractional differential and integral equations. Existence and stability. Zbl 1390.34002Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Henderson, Johnny 30 2018 Stability and square integrability of solutions to third order neutral delay differential equations. Zbl 07005891Graef, John R.; Oudjedi, Linda D.; Remili, Moussadek 4 2018 Existence of solutions to a discrete fourth order boundary value problem. Zbl 1391.39006Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Wang, Min 4 2018 Oscillation of even-order advanced functional differential equations. Zbl 1424.34225Graef, John R.; Grace, Said R.; Tunç, Ercan 3 2018 Multiple positive solutions for a boundary value problem with nonlinear nonlocal Riemann-Stieltjes integral boundary conditions. Zbl 1406.34015Padhi, Seshadev; Graef, John R.; Pati, Smita 2 2018 The forward and inverse problems for a fractional boundary value problem. Zbl 1408.34007Feng, Yaqin; Graef, John R.; Kong, Lingju; Wang, Min 2 2018 Coupled systems of Hilfer fractional differential inclusions in Banach spaces. Zbl 1396.26008Abbas, Saïd; Benchohra, Mouffak; Graef, John R. 2 2018 On the asymptotic behavior of solutions of certain forced third order integro-differential equations with \(\delta\)-Laplacian. Zbl 1404.45013Grace, Said R.; Graef, John R. 1 2018 Existence of solutions to an impulsive Dirichlet boundary value problem. Zbl 1391.34062Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 1 2018 Asymptotic behavior of solutions of nonlinear fractional differential equations with Caputo-type Hadamard derivatives. Zbl 1359.34009Graef, John R.; Grace, Said R.; Tunç, Ercan 8 2017 Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems. Zbl 1387.34064Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 6 2017 Oscillation of second order difference equation with a sub-linear neutral term. Zbl 1382.39009Dharuman, C.; Graef, John R.; Thandapani, E.; Vidhyaa, K. S. 5 2017 Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation. Zbl 1403.34050Graef, John R.; Tunç, Ercan; Grace, Said R. 4 2017 Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting. Zbl 1413.35186Afrouzi, Ghasem A.; Graef, John R.; Shokooh, Saeid 3 2017 Multivalued versions of a Krasnosel’skii-type fixed point theorem. Zbl 1453.47008Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 3 2017 Generalized Hammerstein equations and applications. Zbl 1371.45008Graef, John; Kong, Lingju; Minhós, Feliz 3 2017 Boundary value problems for nonlinear implicit Caputo-Hadamard-type fractional differential equations with impulses. Zbl 1376.26006Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R. 2 2017 On the oscillation of certain third order nonlinear dynamic equations with a nonlinear damping term. Zbl 1413.34302Grace, Said R.; Graef, John R.; Tunç, Ercan 2 2017 On the oscillation of certain integral equations. Zbl 1413.45009Graef, J. R.; Grace, S. R.; Tunç, E. 1 2017 Positive solutions for a fractional boundary value problem. Zbl 1335.34016Graef, John R.; Kong, Lingju; Yang, Bo 11 2016 Nonlinear implicit differential equations of fractional order at resonance. Zbl 1358.34008Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R. 7 2016 Global existence and stability for second order functional evolution equations with infinite delay. Zbl 1363.34261Graef, John; Baliki, Abdessalam; Benchohra, Mouffak 6 2016 Behavior of solutions of nonlinear functional Volterra integro-differential equations with multiple delays. Zbl 1397.45002Graef, John R.; Tunç, Cemil; Şevgin, Sebaheddin 5 2016 Asymptotic behavior of solutions of forced fractional differential equations. Zbl 1389.34013Grace, Said; Graef, John; Tunc, Ercan 3 2016 Multiple solutions for systems of Sturm-Liouville boundary value problems. Zbl 1360.34056Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 3 2016 Nontrivial solutions of a Dirichlet boundary value problem with impulsive effects. Zbl 1365.34054Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 2 2016 Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory. Zbl 1364.58006Tian, Yu; Graef, John R.; Kong, Lingju; Wang, Min 2 2016 Local attractivity and stability analysis of a nonlinear quadratic fractional integral equation. Zbl 1346.45004Dhage, Bapurao C.; Dhage, Shyam B.; Graef, John R. 2 2016 Oscillatory behavior of a third-order neutral dynamic equation with distributed delays. Zbl 1389.34204Grace, Said; Graef, John; Tunc, Ercan 1 2016 Dhage iteration method for initial value problems for nonlinear first order hybrid integrodifferential equations. Zbl 1350.65143Dhage, Bapurao C.; Dhage, Shyam B.; Graef, John R. 1 2016 On stability, ultimate boundedness, and existence of periodic solutions of certain third order differential equations with delay. Zbl 1331.34145Graef, John R.; Beldjerd, Djamila; Remili, Moussadek 13 2015 Stability and square integrability of solutions of nonlinear third order differential equations. Zbl 1326.34088Graef, John R.; Oudjedi, Lynda D.; Remili, Moussadek 10 2015 Continuability and boundedness of multi-delay functional integro-differential equations of the second order. Zbl 1319.34130Graef, John R.; Tunç, Cemil 10 2015 Global asymptotic stability and boundedness of certain multi-delay functional differential equations of third order. Zbl 1335.34114Graef, John R.; Tunç, Cemil 6 2015 Multiple solutions of systems of fractional boundary value problems. Zbl 1323.34007Graef, John R.; Kong, Lingju; Kong, Qingkai 5 2015 Fractional differential inclusions in the Almgren sense. Zbl 1316.34005Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 4 2015 Existence of homoclinic solutions for second order difference equations with \(p\)-Laplacian. Zbl 1335.39007Wang, Min; Kong, Lingju; Graef, John 3 2015 Nonoscillation of all solutions of a higher order nonlinear delay dynamic equation on time scales. Zbl 1309.34121Graef, John R.; Hill, Mary 3 2015 Compression fixed point theorems of operator type. Zbl 1342.47070Avery, Richard I.; Graef, John R.; Liu, Xueyan 2 2015 Nontrivial periodic solutions to second-order impulsive Hamiltonian systems. Zbl 1329.34085Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 2 2015 Boundary-value problems for third-order Lipschitz ordinary differential equations. Zbl 1355.34048Graef, John R.; Henderson, Johnny; Luca, Rodrica; Tian, Yu 2 2015 Oscillation of fourth-order nonlinear dynamic equations on time scales. Zbl 1336.34131Graef, John R.; Tunç, Ercan 1 2015 Functional differential equations with delay and random effects. Zbl 1344.34080Benaissa, Amel; Benchohra, Mouffak; Graef, John R. 1 2015 Some new Lyapunov-type inequalities for third order differential equations. Zbl 1326.34042Graef, John R.; Mahmoud, R.; Saker, Samir H.; Tunç, Ercan 1 2015 Existence and uniqueness of solutions for a fractional boundary value problem on a graph. Zbl 1308.34012Graef, John R.; Kong, Lingju; Wang, Min 27 2014 A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems. Zbl 1337.65104Graef, John R.; Kong, Lingju; Wang, Min 10 2014 Infinitely many solutions for systems of Sturm-Liouville boundary value problems. Zbl 1314.34056Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 9 2014 On oscillatory and asymptotic behavior of fourth order nonlinear neutral delay dynamic equations with positive and negative coefficients. Zbl 1349.34392Graef, John R.; Panigrahi, Saroj; Reddy, P. Rami 6 2014 A new class of dynamic inequalities of Hardy’s type on time scales. Zbl 1300.26021Saker, S. H.; Graef, John R. 5 2014 Periodic solutions of first-order functional differential equations in population dynamics. Zbl 1312.34002Padhi, Seshadev; Graef, John R.; Srinivasu, P. D. N. 5 2014 Oscillation results for second order neutral dynamic equations with distributed deviating arguments. Zbl 1312.34143Tunç, Ercan; Graef, John R. 3 2014 Nontrivial solutions for systems of Sturm-Liouville boundary value problems. Zbl 1305.34044Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 3 2014 Positive solutions to a three point fourth order focal boundary value problem. Zbl 1311.34050Graef, John R.; Yang, Bo 2 2014 Positive solutions for abstract Hammerstein equations and applications. Zbl 1296.47056Benmezai, Abdelhamid; Graef, John R.; Kong, Lingju 2 2014 Uniqueness and parameter dependence of positive doubly periodic solutions of nonlinear telegraph equations. Zbl 1295.35027Graef, John R.; Kong, Lingju; Wang, Min 1 2014 Impulsive differential inclusions. A fixed point approach. Zbl 1285.34002Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 24 2013 A variational approach to a Kirchhoff-type problem involving two parameters. Zbl 1275.35108Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 20 2013 Existence of positive solutions to a higher order singular boundary value problem with fractional \(q\)-derivatives. Zbl 1312.39014Graef, John R.; Kong, Lingju 18 2013 Oscillation of integro-dynamic equations on time scales. Zbl 1261.45005Grace, Said R.; Graef, John R.; Zafer, Ağacık 17 2013 Fractional boundary value problems with integral boundary conditions. Zbl 1385.34010Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 12 2013 Existence of multiple solutions to a discrete fourth order periodic boundary value problem. Zbl 1307.39004Graef, John R.; Kong, Lingju; Wang, Min 9 2013 On the oscillatory behavior of Volterra integral equations on time-scales. Zbl 1304.45005Grace, Said R.; Graef, John R.; Panigrahi, Saroj; Tunc, Ercan 9 2013 Multiple solutions for a class of \((p_1, \dots, p_n)\)-biharmonic systems. Zbl 1268.35049Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 9 2013 Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem. Zbl 1277.39011Graef, John R.; Kong, Lingju; Wang, Min; Yang, Bo 8 2013 Oscillation theory of third-order nonlinear functional differential equations. Zbl 1272.34092Graef, John R.; Saker, Samir H. 8 2013 Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition. Zbl 1340.34015Graef, John; Kong, Lingju; Kong, Qingkai; Wang, Min 7 2013 Infinitely many solutions for systems of multi-point boundary value problems using variational methods. Zbl 1292.34018Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 7 2013 Oscillation of second-order Emden-Fowler neutral differential equations. Zbl 1305.34121Graef, John R.; Li, Tongxing; Thandapani, E.; Tunc, Ercan 6 2013 Oscillation results for fourth-order nonlinear neutral dynamic equations. Zbl 1280.34094Panigrahi, Saroj; Graef, John R.; Reddy, P. Rami 5 2013 Positive solutions of nonlocal fractional boundary value problems. Zbl 1310.34006Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 4 2013 Upper and lower estimates of the positive solutions of a higher order boundary value problem. Zbl 1300.34053Graef, John R.; Yang, Bo 4 2013 Solutions of a nonlinear fourth order periodic boundary value problem for difference equations. Zbl 1264.39002Graef, John R.; Kong, Lingju; Wang, Min 4 2013 Multiple solutions for systems of multi-point boundary value problems. Zbl 1287.34011Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 3 2013 Positive solutions of boundary value problems for discrete and continuous beam equations. Zbl 1383.34039Graef, John R.; Kong, Lingju; Yang, Bo 2 2013 On a discrete fourth order periodic boundary value problem. Zbl 1305.39009Graef, John R.; Kong, Lingju; Tian, Yu; Wang, Min 2 2013 Uniqueness and parameter dependence of positive solutions to higher order boundary value problems with fractional Q-derivatives. Zbl 1286.34009Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 2 2013 Existence of solutions to a multi-point boundary value problem for a second order differential system via the dual least action principle. Zbl 1310.34029Tian, Yu; Graef, John R.; Kong, Lingju; Wang, Min 1 2013 Existence of nontrivial solutions to systems of multi-point boundary value problems. Zbl 1307.34039Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 1 2013 Periodic solutions of a single species renewable resources under periodic habitat fluctuations with harvesting and Allee effects. Zbl 1295.34055Pati, Smita; Graef, John R.; Padhi, Seshadev; Kar, P. K. 1 2013 Multiple positive periodic solutions of first order ordinary differential equations with unbounded Green’s kernel. Zbl 1303.34030Graef, John R.; Padhi, Seshadev; Pati, Smita 1 2013 Existence and nonexistence of multiple positive periodic solutions of first order differential equations with unbounded Green’s kernel. Zbl 1285.34065Graef, John R.; Padhi, Seshadev; Pati, Smita 1 2013 Positive solutions for a class of higher order boundary value problems with fractional \(q\)-derivatives. Zbl 1254.34010Graef, John R.; Kong, Lingju 51 2012 Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions. Zbl 1279.34007Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 36 2012 On the oscillation of third order neutral delay dynamic equations on time scales. Zbl 1247.34139Grace, Said R.; Graef, John R.; El-Beltagy, Mohamed A. 24 2012 Positive solutions for a semipositone fractional boundary value problem with a forcing term. Zbl 1284.34032Graef, John R.; Kong, Lingju; Yang, Bo 22 2012 On the oscillation of higher-order delay differential equations. Zbl 1267.34121Baculíková, B.; Džurina, J.; Graef, J. R. 19 2012 A critical points approach for the existence of multiple solutions of a Dirichlet quasilinear system. Zbl 1244.34024Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 8 2012 On the oscillatory behavior of even order neutral delay dynamic equations on time-scales. Zbl 1340.34243Grace, Said; Graef, John; Panigrahi, Saroj; Tunc, Ercan 7 2012 Oscillation of third-order nonlinear neutral functional dynamic equations on time scales. Zbl 1278.34107Saker, S. H.; Graef, John R. 7 2012 Periodic solutions of some models with strong Allee effects. Zbl 1238.34067Graef, John R.; Padhi, Seshadev; Pati, Smita 7 2012 Integro-differential equations of fractional order. Zbl 1266.45011Abbas, Saïd; Benchohra, Mouffak; Graef, John R. 5 2012 Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086Graef, John R.; Kong, Lingju; Kong, Qingkai 4 2012 Some properties of monotonic solutions of \( x^{'''} + p(t)x^{'} + q(t)f(x) = 0\). Zbl 1264.34100Graef, John R.; Remili, Moussadek 4 2012 On a generalized discrete beam equation via variational methods. Zbl 1278.39005Graef, John R.; Kong, Lingju; Kong, Qingkai 3 2012 Oscillation of third-order neutral retarded differential equations. Zbl 1260.34127Li, Tongxing; Thandapani, Ethiraju; Graef, John R. 2 2012 Positive solutions of differential equations with unbounded Green’s kernel. Zbl 1299.34148Graef, John R.; Padhi, Seshadev; Pati, Smita; Kar, P. K. 1 2012 ...and 220 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,792 Authors 110 Graef, John R. 60 Ahmad, Bashir 53 Benchohra, Mouffak 50 Kong, Lingju 47 Grace, Said Rezk 45 Ntouyas, Sotiris K. 37 Agarwal, Ravi P. 37 Henderson, Johnny Lee 36 Al-saedi, Ahmed Eid Salem 32 Thandapani, Ethiraju 31 Heidarkhani, Shapour 29 Ge, Weigao 29 Liu, Lishan 28 Luca, Rodica 27 Abbas, Said 23 Goodrich, Christopher S. 23 Liu, Yuji 21 Afrouzi, Ghasem Alizadeh 21 Shah, Kamal 20 Minhós, Feliz Manuel 20 Nieto Roig, Juan Jose 20 Saker, Samir H. 19 Spikes, Paul W. 18 Caristi, Giuseppe 18 Li, Wan-Tong 18 Ouahab, Abdelghani 17 Tunç, Cemil 17 Wu, Yonghong 17 Yang, Bo 16 Kong, Qingkai 16 O’Regan, Donal 16 Tariboon, Jessada 15 Cabada, Alberto 15 Remili, Moussadek 15 Zhou, Yong 14 Khan, Rahmat Ali 14 Lalli, Bikkar S. 14 Zhang, Xuemei 13 Džurina, Jozef 13 Feng, Meiqiang 13 Kang, Shin Min 13 Tunç, Ercan 12 Došlá, Zuzana 12 Hao, Xin’an 12 Liu, Zeqing 12 Pei, Minghe 12 Zhai, Chengbo 11 Salari, Amjad 11 Wang, Min 10 Bartušek, Miroslav 10 Ferrara, Massimiliano 10 Marini, Mauro 10 Qian, Chuanxi 10 Sugie, Jitsuro 10 Wang, Guotao 10 Zafer, Ağacık 9 Baculíková, Blanka 9 Li, Michael Yi 9 Li, Tongxing 9 Ma, Ruyun 9 Migda, Janusz 9 Moradi, Shahin 9 Philos, Christos G. 9 Purnaras, Ioannis K. 9 Sun, Yongping 9 Wong, Patricia J. Y. 9 Zhang, Xinguang 8 Băleanu, Dumitru I. 8 Bazighifan, Omar 8 Cecchi, Mariella 8 Hassan, Taher S. 8 Migda, Małgorzata 8 Schmeidel, Ewa L. 8 Shen, Jianhua 8 Sun, Shurong 8 Yang, Wengui 7 Anderson, Douglas Robert 7 Buonomo, Bruno 7 Dogan, Abdulkadir 7 Erbe, Lynn Harry 7 Jadlovská, Irena 7 Padhi, Seshadev 7 Sun, Jianping 7 Tripathy, Arun Kumar 7 Vanterler da Costa Sousa, José 7 Wang, Libo 6 Bohner, Martin J. 6 Candan, Tuncay 6 El-Morshedy, Hassan A. 6 Guezane-Lakoud, Assia 6 Hamani, Samira 6 Koplatadze, R. G. 6 Kuniya, Toshikazu 6 Mesquita, Jaqueline Godoy 6 Pati, Smita 6 Peterson, Allan C. 6 Pietramala, Paolamaria 6 Sabatini, Marco 6 Shen, Chunfang 6 Tomeček, Jan ...and 1,692 more Authors all top 5 Cited in 248 Serials 134 Advances in Difference Equations 128 Journal of Mathematical Analysis and Applications 111 Applied Mathematics and Computation 80 Boundary Value Problems 70 Abstract and Applied Analysis 68 Nonlinear Analysis. Theory, Methods & Applications. 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Series B (English Edition) ...and 148 more Serials all top 5 Cited in 32 Fields 1,402 Ordinary differential equations (34-XX) 383 Operator theory (47-XX) 257 Difference and functional equations (39-XX) 234 Biology and other natural sciences (92-XX) 124 Partial differential equations (35-XX) 121 Real functions (26-XX) 109 Integral equations (45-XX) 69 Dynamical systems and ergodic theory (37-XX) 60 Numerical analysis (65-XX) 47 Global analysis, analysis on manifolds (58-XX) 29 Systems theory; control (93-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 15 Probability theory and stochastic processes (60-XX) 13 Mechanics of deformable solids (74-XX) 7 Special functions (33-XX) 7 Functional analysis (46-XX) 5 Combinatorics (05-XX) 5 Computer science (68-XX) 4 General topology (54-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Quantum theory (81-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year