Edit Profile (opens in new tab) Graef, John R. Co-Author Distance Author ID: graef.john-r Published as: Graef, John R.; Graef, J. R.; Graef, John; Graef, J.; Graef, John r. more...less Homepage: http://web2.utc.edu/~wmh647/ External Links: MGP Documents Indexed: 494 Publications since 1971, including 9 Books 15 Contributions as Editor Biographic References: 2 Publications Co-Authors: 178 Co-Authors with 493 Joint Publications 3,633 Co-Co-Authors all top 5 Co-Authors 14 single-authored 97 Kong, Lingju 83 Spikes, Paul W. 49 Thandapani, Ethiraju 46 Yang, Bo 38 Grace, Said Rezk 29 Tunç, Ercan 26 Bartušek, Miroslav 26 Qian, Chuanxi 25 Benchohra, Mouffak 22 Heidarkhani, Shapour 22 Ouahab, Abdelghani 21 Grammatikopoulos, Myron K. 21 Wang, Min 20 Karsai, János 18 Henderson, Johnny Lee 17 Kong, Qingkai 11 Dhage, Bapurao C. 11 Padhi, Seshadev 11 Remili, Moussadek 9 Shivaji, Ratnasingham 8 Abbas, Said 7 Hamani, Samira 7 Pati, Smita 7 Soni, Bharat K. 7 Sundaram, Pon. 7 Zhu, Jianping 6 Došlá, Zuzana 6 Tunç, Cemil 5 Afrouzi, Ghasem Alizadeh 5 Lim, Hyeona 5 Miciano, Agnes R. 5 Minhós, Feliz Manuel 5 Saker, Samir H. 4 Beldjerd, Djamila 4 Dhage, Shyam B. 4 Dharuman, Chinnappa Pillai 4 Jadlovská, Irena 4 Koomullil, Roy P. 4 Kusano, Takaŝi 4 Li, Michael Yi 4 Li, Tongxing 4 Miciano-Cariño, Agnes 4 Moradi, Shahin 4 Moussaoui, Toufik 4 Panigrahi, Saroj 4 Shokooh, Saeid 4 Tian, Yu 3 Belinsky, Boris P. 3 Bouriah, Soufyane 3 Dogan, Abdulkadir 3 Guerraiche, Nassim 3 Jaroš, Jaroslav 3 Lazreg, Jamal Eddine 3 Liu, Xueyan 3 Manuel, M. Maria Susai 3 Onose, Hiroshi 3 Pinelas, Sandra 3 Savithri, R. 3 Srinivasan, Radhakrishnan 3 Tunç, Osman 2 Agarwal, Ravi P. 2 Arul, Ramalingam 2 Baitiche, Zidane 2 Benmezaï, Abdelhamid 2 Džurina, Jozef 2 Elizabeth, Sebastian 2 Gera, Milan 2 Goddard, Jerome II 2 Hatvani, László 2 Kadari, Halima 2 Kanagasabapathi, R. 2 Kar, P. K. 2 Kitamura, Yuichi 2 Kloeden, Peter Eris 2 Lehman, Brad 2 Liu, Xueyan Sherry 2 Marian, S. Lourdu 2 Mostefai, Fatima-Zohra 2 Muthulakshmi, Velu 2 Ntouyas, Sotiris K. 2 Pandian, Subbiah 2 Rankin, Samuel Murray III 2 Ravi, Krishnan 2 Reddy, P. Rami 2 Sahay, Deepak 2 Selvarangam, Srinivasan 2 Stavroulakis, Ioannis P. 2 Vidhyaa, Kumar S. 2 Wang, Haiyan 2 Wang, Liancheng 2 Zhang, Binggen 2 Zhang, Bo 2 Zhu, Jiangping 1 Abbas, Syed 1 Abdelhamid, Ouaddah 1 Ahmad, Bashir 1 Anderson, Douglas Robert 1 Avery, Richard I. 1 Ayyappan, Govindasamy 1 Baculíková, Blanka ...and 78 more Co-Authors all top 5 Serials 24 Journal of Mathematical Analysis and Applications 18 Dynamic Systems and Applications 17 Electronic Journal of Qualitative Theory of Differential Equations 16 Applicable Analysis 16 Electronic Journal of Differential Equations (EJDE) 14 Discrete and Continuous Dynamical Systems 13 Journal of Difference Equations and Applications 12 Computers & Mathematics with Applications 12 Panamerican Mathematical Journal 11 Applied Mathematics Letters 11 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 Mathematica Slovaca 7 Opuscula Mathematica 7 Differential Equations and Dynamical Systems 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 Debrecen 6 Results in Mathematics 6 Nonlinear Dynamics and Systems Theory 6 Applicable Analysis and Discrete Mathematics 5 Funkcialaj Ekvacioj. Serio Internacia 5 Indian Journal of Mathematics 5 Mathematische Nachrichten 5 Mathematica Bohemica 5 Bulletin of the Institute of Mathematics. Academia Sinica 5 International Journal of Pure and Applied Mathematics 5 Journal of Fixed Point Theory and Applications 5 Differential Equations and Applications 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 Applied Analysis and Computation 4 Trends in Abstract and Applied Analysis 3 Mathematical Methods in the Applied Sciences 3 Rocky Mountain Journal of Mathematics 3 Archivum Mathematicum 3 Hiroshima Mathematical Journal 3 Pacific Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Stochastic Analysis and Applications 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Sciences (New York) 3 Georgian Mathematical Journal 3 Dynamics of Continuous, Discrete and Impulsive Systems 3 Functional Differential Equations 3 Mediterranean Journal of Mathematics 3 Miskolc Mathematical Notes 3 Communications in Mathematical Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Journal of the Australian Mathematical Society, Series B 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Scientiarum Mathematicarum 2 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Mathematical and Computer Modelling 2 Acta Mathematica Universitatis Comenianae. New Series 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Tatra Mountains Mathematical Publications 2 Neural, Parallel & Scientific Computations 2 Nonlinear World 2 Abstract and Applied Analysis 2 International Journal of Differential Equations and Applications 2 Mathematical Modelling and Analysis 2 Communications on Pure and Applied Analysis 2 De Gruyter Series in Nonlinear Analysis and Applications 2 International Journal of Difference Equations 2 Journal of Mathematics and Applications 2 International Electronic Journal of Pure and Applied Mathematics 2 Springer Proceedings in Mathematics & Statistics 2 Fractional Differential Calculus 2 Nonautonomous Dynamical Systems 1 Mathematical Biosciences 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 Bulletin of the Iranian Mathematical Society 1 Radovi Matematički 1 Annals of Differential Equations 1 Journal of Integral Equations and Applications 1 Automation and Remote Control 1 Doklady Bolgarskoĭ Akademii Nauk 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 Journal of the Egyptian Mathematical Society ...and 26 more Serials all top 5 Fields 399 Ordinary differential equations (34-XX) 97 Difference and functional equations (39-XX) 73 Operator theory (47-XX) 24 Global analysis, analysis on manifolds (58-XX) 22 Partial differential equations (35-XX) 20 Integral equations (45-XX) 16 Real functions (26-XX) 15 General and overarching topics; collections (00-XX) 13 Biology and other natural sciences (92-XX) 10 Numerical analysis (65-XX) 9 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-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 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 382 Publications have been cited 3,438 times in 2,452 Documents Cited by ▼ Year ▼ Global dynamics of a SEIR model with varying total population size. Zbl 0974.92029 Li, Michael Y.; Graef, John R.; Wang, Liancheng; Karsai, János 250 1999 Existence results for boundary value problems with non-linear fractional differential equations. Zbl 1198.26008 Benchohra, Mouffak; Graef, John R.; Hamani, Samira 133 2008 Implicit fractional differential and integral equations. Existence and stability. Zbl 1390.34002 Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Henderson, Johnny 99 2018 Positive solutions for a class of higher order boundary value problems with fractional \(q\)-derivatives. Zbl 1254.34010 Graef, John R.; Kong, Lingju 71 2012 Third order boundary value problems with nonlocal boundary conditions. Zbl 1189.34034 Graef, John R.; Webb, J. R. L. 71 2009 Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem. Zbl 1203.34028 Graef, John R.; Kong, Lingju; Wang, Haiyan 71 2008 On the generalized Lienard equation with negative damping. Zbl 0254.34038 Graef, John R. 66 1972 Impulsive differential inclusions. A fixed point approach. Zbl 1285.34002 Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 56 2013 A three point boundary value problem for nonlinear fourth order differential equations. Zbl 1054.34038 Graef, John R.; Qian, Chuanxi; Yang, Bo 51 2003 A variational approach to a Kirchhoff-type problem involving two parameters. Zbl 1275.35108 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 45 2013 Positive solutions to a multi-point higher order boundary value problem. Zbl 1101.34004 Graef, John R.; Yang, Bo 43 2006 Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions. Zbl 1279.34007 Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 41 2012 Existence and uniqueness of solutions for a fractional boundary value problem on a graph. Zbl 1308.34012 Graef, John R.; Kong, Lingju; Wang, Min 40 2014 On the oscillation of third order neutral delay dynamic equations on time scales. Zbl 1247.34139 Grace, Said R.; Graef, John R.; El-Beltagy, Mohamed A. 39 2012 Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations. Zbl 1046.34037 Graef, John R.; Qian, Chuanxi; Yang, Bo 37 2003 A periodic boundary value problem with vanishing Green’s function. Zbl 1135.34307 Graef, John R.; Kong, Lingju; Wang, Haiyan 36 2008 Existence and nonexistence of positive solutions of fourth order nonlinear boundary value problems. Zbl 1031.34025 Graef, John R.; Yang, Bo 35 2000 On the oscillation of higher-order delay differential equations. Zbl 1267.34121 Baculíková, B.; Džurina, J.; Graef, J. R. 34 2012 Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term. Zbl 1414.34052 Graef, John R.; Grace, Said R.; Tunç, Ercan 28 2019 Positive solutions for third order semipositone boundary value problems. Zbl 1173.34313 Graef, John R.; Kong, Lingju 27 2009 Existence results for boundary-value problems with nonlinear fractional differential inclusions and integral conditions. Zbl 1185.26010 Hamani, Samira; Benchohra, Mouffak; Graef, John R. 26 2010 On a nonlinear boundary value problem for fourth order equations. Zbl 1031.34017 Graef, John R.; Yang, Bo 25 1999 Positive solutions of a third order nonlocal boundary value problem. Zbl 1153.34014 Graef, John R.; Yang, Bo 24 2008 Positive solutions for a semipositone fractional boundary value problem with a forcing term. Zbl 1284.34032 Graef, John R.; Kong, Lingju; Yang, Bo 24 2012 Oscillation of impulsive neutral delay differential equations. Zbl 1004.34054 Graef, J. R.; Shen, J. H.; Stavroulakis, I. P. 22 2002 Existence of positive solutions to a higher order singular boundary value problem with fractional \(q\)-derivatives. Zbl 1312.39014 Graef, John R.; Kong, Lingju 22 2013 Oscillatory behavior of second order nonlinear differential equations with a sublinear neutral term. Zbl 1488.34369 Grace, Said R.; Graef, John R. 22 2018 Continuability and boundedness of multi-delay functional integro-differential equations of the second order. Zbl 1319.34130 Graef, John R.; Tunç, Cemil 21 2015 Oscillation and comparison theorems for half-linear second-order difference equations. Zbl 0983.39006 Thandapani, E.; Ravi, K.; Graef, J. R. 20 2001 Oscillation and global attractivity in a periodic delay equation. Zbl 0870.34073 Graef, J. R.; Qian, C.; Spikes, P. W. 20 1996 Nonlinear implicit differential equations of fractional order at resonance. Zbl 1358.34008 Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R. 20 2016 Asymptotic behavior of solutions of a second order nonlinear differential equation. Zbl 0298.34028 Graef, John R.; Spikes, Paul W. 19 1975 Oscillation theorems for perturbed nonlinear differential equations. Zbl 0405.34035 Graef, John R.; Rankin, Samuel M.; Spikes, Paul W. 19 1978 Initial value problem for hybrid \(\psi\)-Hilfer fractional implicit differential equations. Zbl 1493.34037 Salim, Abdelkrim; Benchohra, Mouffak; Graef, John R.; Lazreg, Jamal Eddine 19 2022 Topological methods for differential equations and inclusions. Zbl 1411.34002 Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 19 2019 Positive solutions of a nonlinear higher order boundary-value problem. Zbl 1117.34023 Graef, John R.; Henderson, Johnny; Yang, Bo 18 2007 Higher order boundary value problems with \(\phi\)-Laplacian and functional boundary conditions. Zbl 1222.34020 Graef, John R.; Kong, Lingju; Minhós, Feliz M. 18 2011 Monotone properties of certain classes of solutions of second-order difference equations. Zbl 0933.39014 Thandapani, E.; Manuel, M. M. S.; Graef, J. R.; Spikes, P. W. 18 1998 Oscillation theorems for fourth order functional differential equations. Zbl 1188.34085 Grace, Said R.; Agarwal, Ravi P.; Graef, John R. 18 2009 Positive solutions for a fractional boundary value problem. Zbl 1335.34016 Graef, John R.; Kong, Lingju; Yang, Bo 18 2016 Existence of multiple periodic solutions for first order functional differential equations. Zbl 1235.34190 Graef, John R.; Kong, Lingju 17 2011 Oscillation of two-dimensional difference systems. Zbl 0964.39012 Graef, J. R.; Thandapani, E. 17 1999 Positive solutions of a nonlinear fourth order boundary value problem. Zbl 1136.34024 Graef, John R.; Yang, Bo 17 2007 Fractional boundary value problems with integral boundary conditions. Zbl 1385.34010 Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 17 2013 Oscillation of integro-dynamic equations on time scales. Zbl 1261.45005 Grace, Said R.; Graef, John R.; Zafer, Ağacık 17 2013 Oscillation theory of third-order nonlinear functional differential equations. Zbl 1272.34092 Graef, John R.; Saker, Samir H. 17 2013 Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation. Zbl 1403.34050 Graef, John R.; Tunç, Ercan; Grace, Said R. 17 2017 Oscillatory and asymptotic behavior of solutions of third order delay difference equations. Zbl 1141.39301 Graef, John R.; Thandapani, E. 16 1999 Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation. Zbl 0394.34027 Graef, John R.; Spikes, Paul W. 16 1978 Existence of multiple solutions to a discrete fourth order periodic boundary value problem. Zbl 1307.39004 Graef, John R.; Kong, Lingju; Wang, Min 16 2013 A class of \(n\)th-order BVPs with nonlocal conditions. Zbl 1189.34033 Graef, John R.; Moussaoui, Toufik 16 2009 Necessary and sufficient conditions for the existence of symmetric positive solutions of multi-point boundary value problems. Zbl 1139.34017 Graef, John R.; Kong, Lingju 15 2008 Periodic solutions of first order functional differential equations. Zbl 1241.34077 Graef, John R.; Kong, Lingju 15 2011 Oscillation of second order difference equation with a sub-linear neutral term. Zbl 1382.39009 Dharuman, C.; Graef, John R.; Thandapani, E.; Vidhyaa, K. S. 15 2017 On stability, ultimate boundedness, and existence of periodic solutions of certain third order differential equations with delay. Zbl 1331.34145 Graef, John R.; Beldjerd, Djamila; Remili, Moussadek 15 2015 On the lower and upper solution method for higher order functional boundary value problems. Zbl 1289.34054 Graef, John R.; Kong, Lingju; Minhós, Feliz M.; Fialho, João 15 2011 Existence of solutions to a discrete fourth order boundary value problem. Zbl 1391.39006 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Wang, Min 15 2018 Necessary and sufficient conditions for the existence of symmetric positive solutions of singular boundary value problems. Zbl 1119.34017 Graef, John R.; Kong, Lingju 14 2007 Symmetric positive solutions of nonlinear boundary value problems. Zbl 1117.34024 Graef, John R.; Kong, Lingju; Kong, Qingkai 14 2007 A nonoscillation result for second order ordinary differential equations. Zbl 0339.34031 Graef, J. R.; Spikes, P. W. 14 1975 Double solutions of boundary value problems for 2\(m^{\text{th}}\)-order differential equations and difference equations. Zbl 1070.34036 Graef, J. R.; Henderson, J. 14 2003 Oscillation of second-order Emden-Fowler neutral differential equations. Zbl 1305.34121 Graef, John R.; Li, Tongxing; Thandapani, E.; Tunc, Ercan 14 2013 Asymptotic properties of solutions of nonlinear neutral delay differntial equations of the second order. Zbl 0662.34070 Graef, John R.; Grammatikopoulos, Myron K.; Spikes, Paul W. 13 1988 A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems. Zbl 1119.34020 Graef, John R.; Kong, Lingju 13 2007 Weak solutions for boundary-value problems with nonlinear fractional differential inclusions. Zbl 1236.34004 Benchohra, M.; Graef, J. R.; Mostefai, F.-Z. 13 2011 Oscillatory and asymptotic behavior of fourth order nonlinear delay difference equations. Zbl 1009.39007 Graef, John R.; Thandapani, E. 13 2001 Higher-order singular multi-point boundary-value problems on time scales. Zbl 1223.34122 Dogan, Abdulkadir; Graef, John R.; Kong, Lingju 13 2011 Solutions of second order multi-point boundary value problems. Zbl 1166.34007 Graef, John R.; Kong, Lingju 13 2008 Global existence and stability for second order functional evolution equations with infinite delay. Zbl 1363.34261 Graef, John; Baliki, Abdessalam; Benchohra, Mouffak 13 2016 Positive solutions to a fourth order boundary value problem. Zbl 1218.34024 Graef, John R.; Kong, Lingju; Kong, Qingkai; Yang, Bo 12 2011 A critical points approach for the existence of multiple solutions of a Dirichlet quasilinear system. Zbl 1244.34024 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 12 2012 Upper and lower solutions method for impulsive differential inclusions with nonlinear boundary conditions and variable times. Zbl 1085.34007 Benchohra, M.; Graef, J. R.; Ntouyas, S. K.; Ouahab, A. 12 2005 Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations. Zbl 0890.39018 Graef, John R.; Miciano, Agnes; Spikes, Paul W.; Sundaram, P.; Thandapani, E. 12 1996 Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order. Zbl 0377.34023 Graef, John R. 12 1977 Infinitely many solutions for systems of Sturm-Liouville boundary value problems. Zbl 1314.34056 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 12 2014 Higher order semipositone multi-point boundary value problems on time scales. Zbl 1198.34193 Dogan, Abdulkadir; Graef, John R.; Kong, Lingju 12 2010 Oscillation criteria for certain third order nonlinear difference equations. Zbl 1224.39016 Grace, Said R.; Agarwal, Ravi P.; Graef, John R. 11 2009 On the asymptotic behavior of solutions of a second order nonlinear neutral delay differential equation. Zbl 0731.34088 Graef, John R.; Grammatikopoulos, Myron K.; Spikes, Paul W. 11 1991 Limit circle criteria and related properties for nonlinear equations. Zbl 0441.34024 Graef, John R. 11 1980 Stability and square integrability of solutions of nonlinear third order differential equations. Zbl 1326.34088 Graef, John R.; Oudjedi, Lynda D.; Remili, Moussadek 11 2015 Boundary value problems for nonlinear implicit Caputo-Hadamard-type fractional differential equations with impulses. Zbl 1376.26006 Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R. 11 2017 A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems. Zbl 1337.65104 Graef, John R.; Kong, Lingju; Wang, Min 11 2014 Asymptotic behavior of solutions of nonlinear fractional differential equations with Caputo-type Hadamard derivatives. Zbl 1359.34009 Graef, John R.; Grace, Said R.; Tunç, Ercan 11 2017 Multiple solutions for a class of \((p_1, \dots, p_n)\)-biharmonic systems. Zbl 1268.35049 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 11 2013 Infinitely many solutions for systems of multi-point boundary value problems using variational methods. Zbl 1292.34018 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 11 2013 On the oscillatory behavior of solutions of second order nonlinear differential equations. Zbl 0627.34034 Graef, John R.; Spikes, Paul W. 10 1986 On the nonlinear limit-point/limit-circle problem. Zbl 0535.34023 Graef, John R.; Spikes, Paul W. 10 1983 Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces. Zbl 1206.26006 Benchohra, M.; Graef, J. R.; Mostefai, F. 10 2010 On oscillatory and asymptotic properties of solutions of certain nonlinear third order differential equations. Zbl 0945.34021 Gera, M.; Graef, J. R.; Greguš, M. 10 1998 Positive solutions to a fourth order three point boundary value problem. Zbl 1198.34024 Graef, John R.; Henderson, Johnny; Yang, Bo 10 2009 Positive solutions of a nonlinear third order eigenvalue problem. Zbl 1106.34013 Graef, John R.; Yang, Bo 10 2006 Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral delay differential equations. Zbl 0732.34059 Graef, John R.; Grammatikopoulos, Myron K.; Spikes, Paul W. 10 1991 Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions. Zbl 1424.34012 Benhamida, Wafaa; Graef, John R.; Hamani, Samira 10 2018 Oscillation criteria for even-order differential equations with unbounded neutral coefficients and distributed deviating arguments. Zbl 1467.34069 Graef, John R.; Grace, Said Rezk; Tunc, Ercan 10 2018 Extremal solutions for nonresonance impulsive functional dynamic equations on time scales. Zbl 1135.39009 Graef, John R.; Ouahab, Abdelghani 9 2008 Higher order multi-point boundary value problems. Zbl 1222.34019 Graef, John R.; Kong, Lingju; Kong, Qingkai 9 2011 Asymptotic behaviour and oscillation of solutions of neutral delay difference equations of arbitrary order. Zbl 0941.39006 Thandapani, E.; Sundaram, P.; Graef, John R.; Spikes, Paul W. 9 1997 Stability in a population model. Zbl 0904.39005 Graef, J. R.; Qian, C.; Spikes, P. W. 9 1998 Oscillatory properties of third order neutral delay differential equations. Zbl 1060.34036 Graef, John R.; Savithri, R.; Thandapani, E. 9 2003 Existence results for nonlinear periodic boundary-value problems. Zbl 1178.34024 Graef, John R.; Kong, Lingju 9 2009 Positive solutions to nonlinear elliptic equations depending on a parameter with Dirichlet boundary conditions. Zbl 1514.35146 Padhi, Seshadev; Graef, John R.; Kanaujiya, Ankur 1 2023 Initial value problem for hybrid \(\psi\)-Hilfer fractional implicit differential equations. Zbl 1493.34037 Salim, Abdelkrim; Benchohra, Mouffak; Graef, John R.; Lazreg, Jamal Eddine 19 2022 Existence results for impulsive fractional differential equations with \(p\)-Laplacian via variational methods. Zbl 07547243 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Moradi, Shahin 5 2022 Kneser-type oscillation criteria for second-order half-linear advanced difference equations. Zbl 1483.39006 Indrajith, N.; Graef, John R.; Thandapani, E. 3 2022 Stability of time-delay systems via the Razumikhin method. Zbl 1487.45006 Graef, John R.; Tunç, Cemil; Tunç, Osman 3 2022 Three solutions for impulsive fractional boundary value problems with \(p\)-Laplacian. Zbl 1505.34012 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Moradi, Shahin 2 2022 Sharp oscillation theorem for fourth-order linear delay differential equations. Zbl 1509.34068 Jadlovská, Irena; Džurina, Jozef; Graef, John R.; Grace, Said R. 1 2022 Oscillation of second-order nonlinear noncanonical dynamic equations with deviating arguments. Zbl 1501.34068 Graef, John R.; Grace, Said R.; Tunc, Ercan 1 2022 Existence of multiple solutions to a \(p\)-Kirchhoff problem. Zbl 1499.35013 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Ghobadi, Ahmad 1 2022 Oscillation of odd-order differential equations with a nonpositive sublinear neutral term and distributed deviating arguments. Zbl 1513.34252 Graef, John R.; Jadlovska, Irená; Tunç, Ercan 1 2022 New oscillation criteria for third-order neutral differential equations with distributed deviating arguments. Zbl 1506.34086 Graef, J.; Thandapani, E.; Tunç, E. 1 2022 Oscillation results using linearization of quasi-linear second order delay difference equations. Zbl 1477.39004 Kanagasabapathi, R.; Selvarangam, S.; Graef, J. R.; Thandapani, E. 7 2021 Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with Caputo derivatives. Zbl 1482.45004 Graef, John R.; Tunç, Cemil; Şevli, Hamdullah 7 2021 Oscillation of damped second-order linear mixed neutral differential equations. Zbl 1462.34095 Graef, John R.; Özdemir, Orhan; Kaymaz, Adil; Tunç, Ercan 7 2021 New oscillation criteria for third-order differential equations with bounded and unbounded neutral coefficients. Zbl 1488.34373 Tunç, Ercan; Şahin, Serpil; Graef, John; Pinelas, Sandra 5 2021 Oscillation of higher order functional differential equations with an advanced argument. Zbl 1511.34073 Graef, John R. 4 2021 On the stability, boundedness, and square integrability of solutions of third order neutral delay differential equations. Zbl 1459.34169 Graef, John R.; Beldjerd, Djamila; Remili, Moussadek 3 2021 Asymptotic behavior of solutions of Volterra integro-differential equations with and without retardation. Zbl 1494.45009 Graef, John R.; Tunç, Osman 3 2021 Oscillation theorems for second-order delay difference equations with superlinear neutral terms. Zbl 1476.39013 Grace, Said R.; Graef, John R. 3 2021 On an anisotropic discrete boundary value problem of Kirchhoff type. Zbl 1476.39016 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Moradi, Shahin 2 2021 Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line. Zbl 1484.34016 Benchohra, Mouffak; Graef, John R.; Guerraiche, Nassim; Hamani, Samira 2 2021 Oscillation and nonoscillation results for the Caputo fractional \(q\)-difference equations and inclusions. Zbl 1482.39009 Abbas, S.; Benchohra, M.; Graef, J. R. 1 2021 Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with \(\psi\)-Caputo derivative. Zbl 1492.34081 Bouriah, Soufyane; Foukrach, Djamal; Benchohra, Mouffak; Graef, John 1 2021 Boundary value problems for Hadamard-Caputo implicit fractional differential inclusions with nonlocal conditions. Zbl 07442415 Zahed, Ahmed; Hamani, Samira; Graef, John R. 1 2021 Upper and lower solutions for fractional \(q\)-difference inclusions. Zbl 1513.39005 Abbas, S.; Benchohraj, M.; Graef, J. R. 1 2021 Oscillation of nonlinear neutral dynamic equations on time scales. Zbl 1477.34117 Chhatria, G. N.; Grace, Said R.; Graef, John R. 1 2021 Oscillatory behaviour of second-order nonlinear differential equations with mixed neutral terms. Zbl 1494.34146 Grace, Said R.; Graef, John R.; Li, Tongxing; Tunç, Ercan 1 2021 A variational framework for a second order discrete boundary value problem with mixed periodic boundary conditions. Zbl 1468.39004 Graef, John R.; Kong, Lingju; Wang, Min 1 2021 Positive solutions of the complementary Lidstone boundary value problem. Zbl 1469.34042 Graef, John R.; Yang, Bo 1 2021 Oscillation results for nonlinear second order difference equations with an advanced argument. Zbl 1514.39003 Kanagasabapathi, R.; Selvarangam, S.; Graef, J. R.; Thandapani, E. 1 2021 Stability analysis of a fractional online social network model. Zbl 1523.91025 Graef, John R.; Kong, Lingju; Ledoan, Andrew; Wang, Min 7 2020 Oscillation of even-order nonlinear differential equations with sublinear and superlinear neutral terms. Zbl 1463.34267 Graef, John R.; Grace, Said R.; Tunç, Ercan 2 2020 On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations with positive and negative terms. Zbl 1437.34006 Graef, John R.; Grace, Said R.; Tunç, Ercan 2 2020 Infinitely many solutions for anisotropic discrete boundary value problems of Kirchhoff type. Zbl 1454.39004 Graef, John R.; Kong, Lingju; Heidarkhani, Shapour; Moradi, Shahin 2 2020 Oscillatory behavior of higher order nonlinear difference equations. Zbl 1476.39014 Grace, Said R.; Graef, John R. 1 2020 Stability, boundedness, and square integrability of solutions to third order neutral differential equations with delay. Zbl 1468.34108 Khatir, Anes M.; Graef, John R.; Remili, Moussadek 1 2020 Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term. Zbl 1414.34052 Graef, John R.; Grace, Said R.; Tunç, Ercan 28 2019 Topological methods for differential equations and inclusions. Zbl 1411.34002 Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 19 2019 On the boundedness of nonoscillatory solutions of certain fractional differential equations with positive and negative terms. Zbl 1425.34012 Grace, Said R.; Graef, John R.; Tunç, Ercan 7 2019 Implicit Hadamard fractional differential equations with impulses under weak topologies. Zbl 1421.34002 Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Lazreg, Jamal-Eddine 5 2019 Existence results for systems of second-order impulsive differential equations. Zbl 1489.34046 Graef, J. R.; Kadari, H.; Ouahab, A.; Oumansour, A. 5 2019 Positive periodic solutions to a system of nonlinear differential equations with applications to Lotka-Volterra-type ecological models with discrete and distributed delays. Zbl 1426.34049 Pati, Smita; Graef, John R.; Padhi, Seshadev 4 2019 New oscillation criteria for second order quasi-linear differential equations with sub-linear neutral term. Zbl 1440.34068 Prabaharan, Natarajan; Dharuman, Chinnappa Pillai; Graef, John R.; Thandapani, Ethiraju 3 2019 Some topological and combinatorial properties preserved by inverse limits. Zbl 1505.34050 Grace, Said R.; Graef, John R.; Jadlovská, Irena 3 2019 Multiple anti-periodic solutions to a discrete fourth order nonlinear equation. Zbl 1428.39019 Graef, John R.; Kong, Lingju; Liu, Xueyan 1 2019 On the asymptotic behavior of solutions of certain integro-differential equations. Zbl 1458.34118 Grace, Said R.; Graef, John R.; Tunc, Ercan 1 2019 Sequential fractional differential equations at resonance. Zbl 1467.34004 Baitiche, Zidane; Guerbati, K.; Hammouche, Hadda; Benchohra, Mouffak; Graef, John R. 1 2019 Variational analysis for Dirichlet impulsive fractional differential inclusions involving the \(p\)-Laplacian. Zbl 1499.34062 Kolagar, Samad Mohseni; Afrouzi, Ghasem A.; Graef, John R. 1 2019 Some new stability, boundedness, and square integrability conditions for third-order neutral delay differential equations. Zbl 1430.34076 Graef, John R.; Beldjerd, Djamila; Remili, Moussadek 1 2019 Implicit fractional differential and integral equations. Existence and stability. Zbl 1390.34002 Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Henderson, Johnny 99 2018 Oscillatory behavior of second order nonlinear differential equations with a sublinear neutral term. Zbl 1488.34369 Grace, Said R.; Graef, John R. 22 2018 Existence of solutions to a discrete fourth order boundary value problem. Zbl 1391.39006 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Wang, Min 15 2018 Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions. Zbl 1424.34012 Benhamida, Wafaa; Graef, John R.; Hamani, Samira 10 2018 Oscillation criteria for even-order differential equations with unbounded neutral coefficients and distributed deviating arguments. Zbl 1467.34069 Graef, John R.; Grace, Said Rezk; Tunc, Ercan 10 2018 Multiple positive solutions for a boundary value problem with nonlinear nonlocal Riemann-Stieltjes integral boundary conditions. Zbl 1406.34015 Padhi, Seshadev; Graef, John R.; Pati, Smita 9 2018 Oscillation of even-order advanced functional differential equations. Zbl 1424.34225 Graef, John R.; Grace, Said R.; Tunç, Ercan 8 2018 The forward and inverse problems for a fractional boundary value problem. Zbl 1408.34007 Feng, Yaqin; Graef, John R.; Kong, Lingju; Wang, Min 5 2018 Stability and square integrability of solutions to third order neutral delay differential equations. Zbl 1497.34111 Graef, John R.; Oudjedi, Linda D.; Remili, Moussadek 5 2018 Weak solutions to implicit differential equations involving the Hilfer fractional derivative. Zbl 1391.34128 Abbas, S.; Benchohra, M.; Graef, J. R. 4 2018 Coupled systems of Hilfer fractional differential inclusions in Banach spaces. Zbl 1396.26008 Abbas, Saïd; Benchohra, Mouffak; Graef, John R. 3 2018 Existence of solutions to an impulsive Dirichlet boundary value problem. Zbl 1391.34062 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 3 2018 On Urysohn-Volterra fractional quadratic integral equations. Zbl 1453.45001 Darwish, Mohamed Abdalla; Graef, John R.; Sadarangani, Kishin 2 2018 Asymptotic behavior of the solutions of a third-order nonlinear differential equation. Zbl 1390.34086 Graef, J. R.; Remili, M. 1 2018 The strong nonlinear limit-point/limit-circle problem. Zbl 1479.34003 Bartušek, Miroslav; Graef, John R. 1 2018 Infinitely many solutions for non-homogeneous Neumann problems in Orlicz-Sobolev spaces. Zbl 1505.35133 Shokooh, Saeid; Afrouzi, Ghasem A.; Graef, John R. 1 2018 On the asymptotic behavior of solutions of certain forced third order integro-differential equations with \(\delta\)-Laplacian. Zbl 1404.45013 Grace, Said R.; Graef, John R. 1 2018 Initial value problems for fractional functional differential inclusions with Hadamard type derivatives in Banach spaces. Zbl 1413.34258 Graef, John R.; Guerraiche, Nassim; Hamani, Samira 1 2018 Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation. Zbl 1403.34050 Graef, John R.; Tunç, Ercan; Grace, Said R. 17 2017 Oscillation of second order difference equation with a sub-linear neutral term. Zbl 1382.39009 Dharuman, C.; Graef, John R.; Thandapani, E.; Vidhyaa, K. S. 15 2017 Boundary value problems for nonlinear implicit Caputo-Hadamard-type fractional differential equations with impulses. Zbl 1376.26006 Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R. 11 2017 Asymptotic behavior of solutions of nonlinear fractional differential equations with Caputo-type Hadamard derivatives. Zbl 1359.34009 Graef, John R.; Grace, Said R.; Tunç, Ercan 11 2017 Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems. Zbl 1387.34064 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 8 2017 On the oscillation of certain third order nonlinear dynamic equations with a nonlinear damping term. Zbl 1413.34302 Grace, Said R.; Graef, John R.; Tunç, Ercan 8 2017 Generalized Hammerstein equations and applications. Zbl 1371.45008 Graef, John; Kong, Lingju; Minhós, Feliz 7 2017 Multivalued versions of a Krasnosel’skii-type fixed point theorem. Zbl 1453.47008 Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 6 2017 Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting. Zbl 1413.35186 Afrouzi, Ghasem A.; Graef, John R.; Shokooh, Saeid 5 2017 On a fractional boundary value problem with a perturbation term. Zbl 1474.34169 Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 5 2017 On the oscillation of certain integral equations. Zbl 1413.45009 Graef, J. R.; Grace, S. R.; Tunç, E. 3 2017 Boundary value problems for fractional differential inclusions with Hadamard type derivatives in Banach spaces. Zbl 1449.34017 Graef, John R.; Guerraiche, Nassim; Hamani, Samira 2 2017 Nonlinear implicit differential equations of fractional order at resonance. Zbl 1358.34008 Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R. 20 2016 Positive solutions for a fractional boundary value problem. Zbl 1335.34016 Graef, John R.; Kong, Lingju; Yang, Bo 18 2016 Global existence and stability for second order functional evolution equations with infinite delay. Zbl 1363.34261 Graef, John; Baliki, Abdessalam; Benchohra, Mouffak 13 2016 Behavior of solutions of nonlinear functional Volterra integro-differential equations with multiple delays. Zbl 1397.45002 Graef, John R.; Tunç, Cemil; Şevgin, Sebaheddin 9 2016 Oscillatory behavior of a third-order neutral dynamic equation with distributed delays. Zbl 1389.34204 Grace, Said; Graef, John; Tunc, Ercan 8 2016 Existence of solutions to a discrete fourth order periodic boundary value problem. Zbl 1466.39009 Graef, John R.; Kong, Lingju; Liu, Xueyan 7 2016 Nontrivial solutions of a Dirichlet boundary value problem with impulsive effects. Zbl 1365.34054 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 4 2016 Multiple solutions for systems of Sturm-Liouville boundary value problems. Zbl 1360.34056 Graef, John R.; Heidarkhani, Shapour; Kong, Lingju 4 2016 Local attractivity and stability analysis of a nonlinear quadratic fractional integral equation. Zbl 1346.45004 Dhage, Bapurao C.; Dhage, Shyam B.; Graef, John R. 4 2016 Asymptotic behavior of solutions of forced fractional differential equations. Zbl 1389.34013 Grace, Said; Graef, John; Tunc, Ercan 3 2016 Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory. Zbl 1364.58006 Tian, Yu; Graef, John R.; Kong, Lingju; Wang, Min 2 2016 Dhage iteration method for initial value problems for nonlinear first order hybrid integrodifferential equations. Zbl 1350.65143 Dhage, Bapurao C.; Dhage, Shyam B.; Graef, John R. 1 2016 Continuability and boundedness of multi-delay functional integro-differential equations of the second order. Zbl 1319.34130 Graef, John R.; Tunç, Cemil 21 2015 On stability, ultimate boundedness, and existence of periodic solutions of certain third order differential equations with delay. Zbl 1331.34145 Graef, John R.; Beldjerd, Djamila; Remili, Moussadek 15 2015 Stability and square integrability of solutions of nonlinear third order differential equations. Zbl 1326.34088 Graef, John R.; Oudjedi, Lynda D.; Remili, Moussadek 11 2015 Global asymptotic stability and boundedness of certain multi-delay functional differential equations of third order. Zbl 1335.34114 Graef, John R.; Tunç, Cemil 9 2015 Fractional differential inclusions in the Almgren sense. Zbl 1316.34005 Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani 7 2015 Multiple solutions of systems of fractional boundary value problems. Zbl 1323.34007 Graef, John R.; Kong, Lingju; Kong, Qingkai 6 2015 Existence of homoclinic solutions for second order difference equations with \(p\)-Laplacian. Zbl 1335.39007 Wang, Min; Kong, Lingju; Graef, John 5 2015 Compression fixed point theorems of operator type. Zbl 1342.47070 Avery, Richard I.; Graef, John R.; Liu, Xueyan 3 2015 Nonoscillation of all solutions of a higher order nonlinear delay dynamic equation on time scales. Zbl 1309.34121 Graef, John R.; Hill, Mary 3 2015 ...and 282 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,369 Authors 137 Graef, John R. 113 Benchohra, Mouffak 88 Ahmad, Bashir 78 Grace, Said Rezk 63 Ntouyas, Sotiris K. 59 Kong, Lingju 58 Al-saedi, Ahmed Eid Salem 55 Thandapani, Ethiraju 52 Abbas, Said 47 Heidarkhani, Shapour 44 Agarwal, Ravi P. 42 Henderson, Johnny Lee 39 Nieto Roig, Juan Jose 36 Goodrich, Christopher S. 31 Afrouzi, Ghasem Alizadeh 31 Liu, Lishan 31 Ouahab, Abdelghani 31 Salim, Abdelkrim 31 Shah, Kamal 29 Ge, Weigao 29 Luca, Rodica 26 Tunç, Cemil 25 Tunç, Ercan 25 Zhou, Yong 24 Minhós, Feliz Manuel 23 Caristi, Giuseppe 23 Liu, Yuji 22 O’Regan, Donal 21 Wu, Yonghong 21 Yang, Bo 20 Moaaz, Osama 20 Saker, Samir H. 19 Bazighifan, Omar 19 Lazreg, Jamal Eddine 19 Wang, Min 18 Cabada, Alberto 18 Li, Wan-Tong 18 Moradi, Shahin 18 Tariboon, Jessada 17 Kong, Qingkai 17 Spikes, Paul W. 17 Zhai, Chengbo 16 Alzabut, Jehad O. 16 Džurina, Jozef 16 Khan, Rahmat Ali 16 Remili, Moussadek 15 Chatzarakis, George E. 15 Feng, Meiqiang 15 Li, Tongxing 15 Zhang, Xuemei 14 Bouriah, Soufyane 14 Lalli, Bikkar S. 14 Qian, Chuanxi 14 Santra, Shyam Sundar 13 Abdeljawad, Thabet 13 Došlá, Zuzana 13 Jadlovská, Irena 13 Kang, Shin Min 13 Salari, Amjad 12 Băleanu, Dumitru I. 12 Bartušek, Miroslav 12 Bohner, Martin J. 12 Hao, Xin’an 12 Li, Michael Yi 12 Liu, Zeqing 12 Pei, Minghe 12 Tripathy, Arun Kumar 11 Rezapour, Shahram 11 Tunç, Osman 11 Zafer, Ağacık 10 Baculíková, Blanka 10 Derbazi, Choukri 10 Ferrara, Massimiliano 10 Ma, Ruyun 10 Migda, Janusz 10 Migda, Małgorzata 10 Özdemir, Orhan 10 Padhi, Seshadev 10 Sugie, Jitsuro 10 Wang, Guotao 10 Wong, Patricia J. Y. 10 Zada, Akbar 10 Zhang, Xinguang 9 Elabbasy, Elmetwally M. 9 Etemad, Sina 9 Marini, Mauro 9 N’Guérékata, Gaston Mandata 9 Philos, Christos G. 9 Pietramala, Paolamaria 9 Pinelas, Sandra 9 Purnaras, Ioannis K. 9 Sun, Shurong 9 Xu, Jiafa 9 Yang, Wengui 8 Abbas, Syed 8 Abdo, Mohammed Salem 8 Dogan, Abdulkadir 8 Hassan, Taher S. 8 Jin, Zhen 8 Schmeidel, Ewa L. ...and 2,269 more Authors all top 5 Cited in 321 Serials 189 Advances in Difference Equations 126 Journal of Mathematical Analysis and Applications 112 Applied Mathematics and Computation 111 Boundary Value Problems 71 Abstract and Applied Analysis 69 Nonlinear Analysis. Theory, Methods & Applications. 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