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Graef, John R.

Compute Distance To:
 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
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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
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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
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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)

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 0974.92029
Li, Michael Y.; Graef, John R.; Wang, Liancheng; Karsai, János
1999
Existence results for boundary value problems with non-linear fractional differential equations. Zbl 1198.26008
Benchohra, Mouffak; Graef, John R.; Hamani, Samira
2008
On the generalized Lienard equation with negative damping. Zbl 0254.34038
Graef, John R.
1972
Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem. Zbl 1203.34028
Graef, John R.; Kong, Lingju; Wang, Haiyan
2008
Third order boundary value problems with nonlocal boundary conditions. Zbl 1189.34034
Graef, John R.; Webb, J. R. L.
2009
Positive solutions for a class of higher order boundary value problems with fractional $$q$$-derivatives. Zbl 1254.34010
Graef, John R.; Kong, Lingju
2012
Positive solutions to a multi-point higher order boundary value problem. Zbl 1101.34004
Graef, John R.; Yang, Bo
2006
A three point boundary value problem for nonlinear fourth order differential equations. Zbl 1054.34038
Graef, John R.; Qian, Chuanxi; Yang, Bo
2003
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
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
2003
Implicit fractional differential and integral equations. Existence and stability. Zbl 1390.34002
Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Henderson, Johnny
2018
Existence and nonexistence of positive solutions of fourth order nonlinear boundary value problems. Zbl 1031.34025
Graef, John R.; Yang, Bo
2000
Existence and uniqueness of solutions for a fractional boundary value problem on a graph. Zbl 1308.34012
Graef, John R.; Kong, Lingju; Wang, Min
2014
On a nonlinear boundary value problem for fourth order equations. Zbl 1031.34017
Graef, John R.; Yang, Bo
1999
Impulsive differential inclusions. A fixed point approach. Zbl 1285.34002
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
2013
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.
2012
A periodic boundary value problem with vanishing Green’s function. Zbl 1135.34307
Graef, John R.; Kong, Lingju; Wang, Haiyan
2008
Asymptotic behavior of solutions of a second order nonlinear differential equation. Zbl 0298.34028
Graef, John R.; Spikes, Paul W.
1975
Positive solutions for a semipositone fractional boundary value problem with a forcing term. Zbl 1284.34032
Graef, John R.; Kong, Lingju; Yang, Bo
2012
Positive solutions for third order semipositone boundary value problems. Zbl 1173.34313
Graef, John R.; Kong, Lingju
2009
A variational approach to a Kirchhoff-type problem involving two parameters. Zbl 1275.35108
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2013
Existence results for boundary-value problems with nonlinear fractional differential inclusions and integral conditions. Zbl 1185.26010
Hamani, Samira; Benchohra, Mouffak; Graef, John R.
2010
Positive solutions of a third order nonlocal boundary value problem. Zbl 1153.34014
Graef, John R.; Yang, Bo
2008
On the oscillation of higher-order delay differential equations. Zbl 1267.34121
Baculíková, B.; Džurina, J.; Graef, J. R.
2012
Oscillation and global attractivity in a periodic delay equation. Zbl 0870.34073
Graef, J. R.; Qian, C.; Spikes, P. W.
1996
Existence of positive solutions to a higher order singular boundary value problem with fractional $$q$$-derivatives. Zbl 1312.39014
Graef, John R.; Kong, Lingju
2013
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.
1998
Oscillation theorems for perturbed nonlinear differential equations. Zbl 0405.34035
Graef, John R.; Rankin, Samuel M.; Spikes, Paul W.
1978
Oscillation of integro-dynamic equations on time scales. Zbl 1261.45005
Grace, Said R.; Graef, John R.; Zafer, Ağacık
2013
Positive solutions of a nonlinear higher order boundary-value problem. Zbl 1117.34023
Graef, John R.; Henderson, Johnny; Yang, Bo
2007
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
2008
Oscillation of two-dimensional difference systems. Zbl 0964.39012
Graef, J. R.; Thandapani, E.
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.
1978
Periodic solutions of first order functional differential equations. Zbl 1241.34077
Graef, John R.; Kong, Lingju
2011
Higher order boundary value problems with $$\phi$$-Laplacian and functional boundary conditions. Zbl 1222.34020
Graef, John R.; Kong, Lingju; Minhós, Feliz M.
2011
A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems. Zbl 1119.34020
Graef, John R.; Kong, Lingju
2007
Symmetric positive solutions of nonlinear boundary value problems. Zbl 1117.34024
Graef, John R.; Kong, Lingju; Kong, Qingkai
2007
Oscillation of impulsive neutral delay differential equations. Zbl 1004.34054
Graef, J. R.; Shen, J. H.; Stavroulakis, I. P.
2002
Oscillation and comparison theorems for half-linear second-order difference equations. Zbl 0983.39006
Thandapani, E.; Ravi, K.; Graef, J. R.
2001
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
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
2011
Higher-order singular multi-point boundary-value problems on time scales. Zbl 1223.34122
Dogan, Abdulkadir; Graef, John R.; Kong, Lingju
2011
A class of $$n$$th-order BVPs with nonlocal conditions. Zbl 1189.34033
Graef, John R.; Moussaoui, Toufik
2009
Positive solutions of a nonlinear fourth order boundary value problem. Zbl 1136.34024
Graef, John R.; Yang, Bo
2007
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.
1988
Fractional boundary value problems with integral boundary conditions. Zbl 1385.34010
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2013
Necessary and sufficient conditions for the existence of symmetric positive solutions of singular boundary value problems. Zbl 1119.34017
Graef, John R.; Kong, Lingju
2007
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.
2003
Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order. Zbl 0377.34023
Graef, John R.
1977
Positive solutions for a fractional boundary value problem. Zbl 1335.34016
Graef, John R.; Kong, Lingju; Yang, Bo
2016
Existence of multiple periodic solutions for first order functional differential equations. Zbl 1235.34190
Graef, John R.; Kong, Lingju
2011
Higher order semipositone multi-point boundary value problems on time scales. Zbl 1198.34193
Dogan, Abdulkadir; Graef, John R.; Kong, Lingju
2010
Oscillation theorems for fourth order functional differential equations. Zbl 1188.34085
Grace, Said R.; Agarwal, Ravi P.; Graef, John R.
2009
Solutions of second order multi-point boundary value problems. Zbl 1166.34007
Graef, John R.; Kong, Lingju
2008
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.
2005
Oscillatory and asymptotic behavior of fourth order nonlinear delay difference equations. Zbl 1009.39007
Graef, John R.; Thandapani, E.
2001
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.
1996
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.
1991
Limit circle criteria and related properties for nonlinear equations. Zbl 0441.34024
Graef, John R.
1980
A nonoscillation result for second order ordinary differential equations. Zbl 0339.34031
Graef, J. R.; Spikes, P. W.
1975
Stability and square integrability of solutions of nonlinear third order differential equations. Zbl 1326.34088
Graef, John R.; Oudjedi, Lynda D.; Remili, Moussadek
2015
Continuability and boundedness of multi-delay functional integro-differential equations of the second order. Zbl 1319.34130
Graef, John R.; Tunç, Cemil
2015
A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems. Zbl 1337.65104
Graef, John R.; Kong, Lingju; Wang, Min
2014
On oscillatory and asymptotic properties of solutions of certain nonlinear third order differential equations. Zbl 0945.34021
Gera, M.; Graef, J. R.; Greguš, M.
1998
On the oscillatory behavior of solutions of second order nonlinear differential equations. Zbl 0627.34034
Graef, John R.; Spikes, Paul W.
1986
On the nonlinear limit-point/limit-circle problem. Zbl 0535.34023
Graef, John R.; Spikes, Paul W.
1983
Infinitely many solutions for systems of Sturm-Liouville boundary value problems. Zbl 1314.34056
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2014
Existence of multiple solutions to a discrete fourth order periodic boundary value problem. Zbl 1307.39004
Graef, John R.; Kong, Lingju; Wang, Min
2013
On the oscillatory behavior of Volterra integral equations on time-scales. Zbl 1304.45005
Grace, Said R.; Graef, John R.; Panigrahi, Saroj; Tunc, Ercan
2013
Multiple solutions for a class of $$(p_1, \dots, p_n)$$-biharmonic systems. Zbl 1268.35049
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2013
Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces. Zbl 1206.26006
Benchohra, M.; Graef, J. R.; Mostefai, F.
2010
Existence of solutions for a higher order multi-point boundary value problem. Zbl 1173.34008
Graef, John R.; Kong, Lingju; Yang, Bo
2009
Existence results for nonlinear periodic boundary-value problems. Zbl 1178.34024
Graef, John R.; Kong, Lingju
2009
Three solutions of an $$n$$th order three-point focal type boundary value problem. Zbl 1183.34027
Graef, John R.; Henderson, Johnny; Wong, Patricia J. Y.; Yang, Bo
2008
Extremal solutions for nonresonance impulsive functional dynamic equations on time scales. Zbl 1135.39009
Graef, John R.; Ouahab, Abdelghani
2008
Positive solutions of a nonlinear third order eigenvalue problem. Zbl 1106.34013
Graef, John R.; Yang, Bo
2006
Boundary value problems for second order nonlinear ordinary differential equations. Zbl 1085.34514
Graef, John R.; Yang, Bo
2002
Oscillatory and asymptotic behavior of solutions of third order delay difference equations. Zbl 1141.39301
Graef, John R.; Thandapani, E.
1999
Stability in a population model. Zbl 0904.39005
Graef, J. R.; Qian, C.; Spikes, P. W.
1998
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.
1991
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
2017
Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem. Zbl 1277.39011
Graef, John R.; Kong, Lingju; Wang, Min; Yang, Bo
2013
Oscillation theory of third-order nonlinear functional differential equations. Zbl 1272.34092
Graef, John R.; Saker, Samir H.
2013
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
2012
Weak solutions for boundary-value problems with nonlinear fractional differential inclusions. Zbl 1236.34004
Benchohra, M.; Graef, J. R.; Mostefai, F.-Z.
2011
Positive solutions to a fourth order boundary value problem. Zbl 1218.34024
Graef, John R.; Kong, Lingju; Kong, Qingkai; Yang, Bo
2011
Asymptotic results for a class of fourth order quasilinear difference equations. Zbl 1145.39003
Thandapani, E.; Pandian, S.; Dhanasekaran, R.; Graef, John R.
2007
Some existence and uniqueness results for impulsive functional differential equations with variable times in Fréchet spaces. Zbl 1120.34067
Graef, John R.; Ouahab, Abdelghani
2007
Asymptotic behavior of forced delay equations with periodic coefficients. Zbl 0903.34061
Graef, J. R.; Qian, C.
1998
On the behavior of solutions of generalized Emden-Fowler equations with deviating arguments. Zbl 0502.34059
Graef, John R.; Grammatikopoulos, Myron K.; Spikes, Paul W.
1982
Nonlinear implicit differential equations of fractional order at resonance. Zbl 1358.34008
Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R.
2016
Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition. Zbl 1340.34015
Graef, John; Kong, Lingju; Kong, Qingkai; Wang, Min
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
2013
On the oscillatory behavior of even order neutral delay dynamic equations on time-scales. Zbl 1340.34243
Grace, Said; Graef, John; Panigrahi, Saroj; Tunc, Ercan
2012
Oscillation of third-order nonlinear neutral functional dynamic equations on time scales. Zbl 1278.34107
Saker, S. H.; Graef, John R.
2012
Periodic solutions of some models with strong Allee effects. Zbl 1238.34067
Graef, John R.; Padhi, Seshadev; Pati, Smita
2012
First-order singular boundary value problems with $$p$$-Laplacian on time scales. Zbl 1223.34123
Graef, John R.; Kong, Lingju
2011
Higher order multi-point boundary value problems. Zbl 1222.34019
Graef, John R.; Kong, Lingju; Kong, Qingkai
2011
Positive solutions to a fourth order three point boundary value problem. Zbl 1198.34024
Graef, John R.; Henderson, Johnny; Yang, Bo
2009
Existence of solutions for nonlinear boundary value problems. Zbl 1145.34007
Graef, John R.; Kong, Lingju
2007
Topological methods for differential equations and inclusions. Zbl 1411.34002
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
2019
Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term. Zbl 1414.34052
Graef, John R.; Grace, Said R.; Tunç, Ercan
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
2019
Multiple anti-periodic solutions to a discrete fourth order nonlinear equation. Zbl 1428.39019
Graef, John R.; Kong, Lingju; Liu, Xueyan
2019
Implicit fractional differential and integral equations. Existence and stability. Zbl 1390.34002
Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Henderson, Johnny
2018
Stability and square integrability of solutions to third order neutral delay differential equations. Zbl 07005891
Graef, John R.; Oudjedi, Linda D.; Remili, Moussadek
2018
Existence of solutions to a discrete fourth order boundary value problem. Zbl 1391.39006
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Wang, Min
2018
Oscillation of even-order advanced functional differential equations. Zbl 1424.34225
Graef, John R.; Grace, Said R.; Tunç, Ercan
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
2018
The forward and inverse problems for a fractional boundary value problem. Zbl 1408.34007
Feng, Yaqin; Graef, John R.; Kong, Lingju; Wang, Min
2018
Coupled systems of Hilfer fractional differential inclusions in Banach spaces. Zbl 1396.26008
Abbas, Saïd; Benchohra, Mouffak; Graef, John R.
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.
2018
Existence of solutions to an impulsive Dirichlet boundary value problem. Zbl 1391.34062
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2018
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
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
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.
2017
Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation. Zbl 1403.34050
Graef, John R.; Tunç, Ercan; Grace, Said R.
2017
Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting. Zbl 1413.35186
Afrouzi, Ghasem A.; Graef, John R.; Shokooh, Saeid
2017
Multivalued versions of a Krasnosel’skii-type fixed point theorem. Zbl 1453.47008
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
2017
Generalized Hammerstein equations and applications. Zbl 1371.45008
Graef, John; Kong, Lingju; Minhós, Feliz
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.
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
2017
On the oscillation of certain integral equations. Zbl 1413.45009
Graef, J. R.; Grace, S. R.; Tunç, E.
2017
Positive solutions for a fractional boundary value problem. Zbl 1335.34016
Graef, John R.; Kong, Lingju; Yang, Bo
2016
Nonlinear implicit differential equations of fractional order at resonance. Zbl 1358.34008
Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R.
2016
Global existence and stability for second order functional evolution equations with infinite delay. Zbl 1363.34261
Graef, John; Baliki, Abdessalam; Benchohra, Mouffak
2016
Behavior of solutions of nonlinear functional Volterra integro-differential equations with multiple delays. Zbl 1397.45002
Graef, John R.; Tunç, Cemil; Şevgin, Sebaheddin
2016
Asymptotic behavior of solutions of forced fractional differential equations. Zbl 1389.34013
Grace, Said; Graef, John; Tunc, Ercan
2016
Multiple solutions for systems of Sturm-Liouville boundary value problems. Zbl 1360.34056
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2016
Nontrivial solutions of a Dirichlet boundary value problem with impulsive effects. Zbl 1365.34054
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
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
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.
2016
Oscillatory behavior of a third-order neutral dynamic equation with distributed delays. Zbl 1389.34204
Grace, Said; Graef, John; Tunc, Ercan
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.
2016
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
2015
Stability and square integrability of solutions of nonlinear third order differential equations. Zbl 1326.34088
Graef, John R.; Oudjedi, Lynda D.; Remili, Moussadek
2015
Continuability and boundedness of multi-delay functional integro-differential equations of the second order. Zbl 1319.34130
Graef, John R.; Tunç, Cemil
2015
Global asymptotic stability and boundedness of certain multi-delay functional differential equations of third order. Zbl 1335.34114
Graef, John R.; Tunç, Cemil
2015
Multiple solutions of systems of fractional boundary value problems. Zbl 1323.34007
Graef, John R.; Kong, Lingju; Kong, Qingkai
2015
Fractional differential inclusions in the Almgren sense. Zbl 1316.34005
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
2015
Existence of homoclinic solutions for second order difference equations with $$p$$-Laplacian. Zbl 1335.39007
Wang, Min; Kong, Lingju; Graef, John
2015
Nonoscillation of all solutions of a higher order nonlinear delay dynamic equation on time scales. Zbl 1309.34121
Graef, John R.; Hill, Mary
2015
Compression fixed point theorems of operator type. Zbl 1342.47070
Avery, Richard I.; Graef, John R.; Liu, Xueyan
2015
Nontrivial periodic solutions to second-order impulsive Hamiltonian systems. Zbl 1329.34085
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2015
Boundary-value problems for third-order Lipschitz ordinary differential equations. Zbl 1355.34048
Graef, John R.; Henderson, Johnny; Luca, Rodrica; Tian, Yu
2015
Oscillation of fourth-order nonlinear dynamic equations on time scales. Zbl 1336.34131
Graef, John R.; Tunç, Ercan
2015
Functional differential equations with delay and random effects. Zbl 1344.34080
Benaissa, Amel; Benchohra, Mouffak; Graef, John R.
2015
Some new Lyapunov-type inequalities for third order differential equations. Zbl 1326.34042
Graef, John R.; Mahmoud, R.; Saker, Samir H.; Tunç, Ercan
2015
Existence and uniqueness of solutions for a fractional boundary value problem on a graph. Zbl 1308.34012
Graef, John R.; Kong, Lingju; Wang, Min
2014
A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems. Zbl 1337.65104
Graef, John R.; Kong, Lingju; Wang, Min
2014
Infinitely many solutions for systems of Sturm-Liouville boundary value problems. Zbl 1314.34056
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2014
On oscillatory and asymptotic behavior of fourth order nonlinear neutral delay dynamic equations with positive and negative coefficients. Zbl 1349.34392
Graef, John R.; Panigrahi, Saroj; Reddy, P. Rami
2014
A new class of dynamic inequalities of Hardy’s type on time scales. Zbl 1300.26021
Saker, S. H.; Graef, John R.
2014
Periodic solutions of first-order functional differential equations in population dynamics. Zbl 1312.34002
Padhi, Seshadev; Graef, John R.; Srinivasu, P. D. N.
2014
Oscillation results for second order neutral dynamic equations with distributed deviating arguments. Zbl 1312.34143
Tunç, Ercan; Graef, John R.
2014
Nontrivial solutions for systems of Sturm-Liouville boundary value problems. Zbl 1305.34044
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2014
Positive solutions to a three point fourth order focal boundary value problem. Zbl 1311.34050
Graef, John R.; Yang, Bo
2014
Positive solutions for abstract Hammerstein equations and applications. Zbl 1296.47056
Benmezai, Abdelhamid; Graef, John R.; Kong, Lingju
2014
Uniqueness and parameter dependence of positive doubly periodic solutions of nonlinear telegraph equations. Zbl 1295.35027
Graef, John R.; Kong, Lingju; Wang, Min
2014
Impulsive differential inclusions. A fixed point approach. Zbl 1285.34002
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
2013
A variational approach to a Kirchhoff-type problem involving two parameters. Zbl 1275.35108
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2013
Existence of positive solutions to a higher order singular boundary value problem with fractional $$q$$-derivatives. Zbl 1312.39014
Graef, John R.; Kong, Lingju
2013
Oscillation of integro-dynamic equations on time scales. Zbl 1261.45005
Grace, Said R.; Graef, John R.; Zafer, Ağacık
2013
Fractional boundary value problems with integral boundary conditions. Zbl 1385.34010
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2013
Existence of multiple solutions to a discrete fourth order periodic boundary value problem. Zbl 1307.39004
Graef, John R.; Kong, Lingju; Wang, Min
2013
On the oscillatory behavior of Volterra integral equations on time-scales. Zbl 1304.45005
Grace, Said R.; Graef, John R.; Panigrahi, Saroj; Tunc, Ercan
2013
Multiple solutions for a class of $$(p_1, \dots, p_n)$$-biharmonic systems. Zbl 1268.35049
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2013
Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem. Zbl 1277.39011
Graef, John R.; Kong, Lingju; Wang, Min; Yang, Bo
2013
Oscillation theory of third-order nonlinear functional differential equations. Zbl 1272.34092
Graef, John R.; Saker, Samir H.
2013
Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition. Zbl 1340.34015
Graef, John; Kong, Lingju; Kong, Qingkai; Wang, Min
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
2013
Oscillation of second-order Emden-Fowler neutral differential equations. Zbl 1305.34121
Graef, John R.; Li, Tongxing; Thandapani, E.; Tunc, Ercan
2013
Oscillation results for fourth-order nonlinear neutral dynamic equations. Zbl 1280.34094
Panigrahi, Saroj; Graef, John R.; Reddy, P. Rami
2013
Positive solutions of nonlocal fractional boundary value problems. Zbl 1310.34006
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2013
Upper and lower estimates of the positive solutions of a higher order boundary value problem. Zbl 1300.34053
Graef, John R.; Yang, Bo
2013
Solutions of a nonlinear fourth order periodic boundary value problem for difference equations. Zbl 1264.39002
Graef, John R.; Kong, Lingju; Wang, Min
2013
Multiple solutions for systems of multi-point boundary value problems. Zbl 1287.34011
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2013
Positive solutions of boundary value problems for discrete and continuous beam equations. Zbl 1383.34039
Graef, John R.; Kong, Lingju; Yang, Bo
2013
On a discrete fourth order periodic boundary value problem. Zbl 1305.39009
Graef, John R.; Kong, Lingju; Tian, Yu; Wang, Min
2013
Uniqueness and parameter dependence of positive solutions to higher order boundary value problems with fractional Q-derivatives. Zbl 1286.34009
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2013
Existence of solutions to a multi-point boundary value problem for a second order differential system via the dual least action principle. Zbl 1310.34029
Tian, Yu; Graef, John R.; Kong, Lingju; Wang, Min
2013
Existence of nontrivial solutions to systems of multi-point boundary value problems. Zbl 1307.34039
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2013
Periodic solutions of a single species renewable resources under periodic habitat fluctuations with harvesting and Allee effects. Zbl 1295.34055
Pati, Smita; Graef, John R.; Padhi, Seshadev; Kar, P. K.
2013
Multiple positive periodic solutions of first order ordinary differential equations with unbounded Green’s kernel. Zbl 1303.34030
Graef, John R.; Padhi, Seshadev; Pati, Smita
2013
Existence and nonexistence of multiple positive periodic solutions of first order differential equations with unbounded Green’s kernel. Zbl 1285.34065
Graef, John R.; Padhi, Seshadev; Pati, Smita
2013
Positive solutions for a class of higher order boundary value problems with fractional $$q$$-derivatives. Zbl 1254.34010
Graef, John R.; Kong, Lingju
2012
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
2012
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.
2012
Positive solutions for a semipositone fractional boundary value problem with a forcing term. Zbl 1284.34032
Graef, John R.; Kong, Lingju; Yang, Bo
2012
On the oscillation of higher-order delay differential equations. Zbl 1267.34121
Baculíková, B.; Džurina, J.; Graef, J. R.
2012
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
2012
On the oscillatory behavior of even order neutral delay dynamic equations on time-scales. Zbl 1340.34243
Grace, Said; Graef, John; Panigrahi, Saroj; Tunc, Ercan
2012
Oscillation of third-order nonlinear neutral functional dynamic equations on time scales. Zbl 1278.34107
Saker, S. H.; Graef, John R.
2012
Periodic solutions of some models with strong Allee effects. Zbl 1238.34067
Graef, John R.; Padhi, Seshadev; Pati, Smita
2012
Integro-differential equations of fractional order. Zbl 1266.45011
Abbas, Saïd; Benchohra, Mouffak; Graef, John R.
2012
Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086
Graef, John R.; Kong, Lingju; Kong, Qingkai
2012
Some properties of monotonic solutions of $$x^{'''} + p(t)x^{'} + q(t)f(x) = 0$$. Zbl 1264.34100
Graef, John R.; Remili, Moussadek
2012
On a generalized discrete beam equation via variational methods. Zbl 1278.39005
Graef, John R.; Kong, Lingju; Kong, Qingkai
2012
Oscillation of third-order neutral retarded differential equations. Zbl 1260.34127
Li, Tongxing; Thandapani, Ethiraju; Graef, John R.
2012
Positive solutions of differential equations with unbounded Green’s kernel. Zbl 1299.34148
Graef, John R.; Padhi, Seshadev; Pati, Smita; Kar, P. K.
2012
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