## Graef, John R.

Compute Distance To:
 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: 471 Publications since 1971, including 9 Books 15 Contributions as Editor Biographic References: 2 Publications Co-Authors: 165 Co-Authors with 470 Joint Publications 3,300 Co-Co-Authors
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### 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 15 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 Fractional Calculus & Applied Analysis 7 Nonlinear Analysis. Theory, Methods & Applications 6 Applied Mathematics and Computation 6 International Journal of Mathematics and Mathematical Sciences 6 Mathematica Slovaca 6 Publicationes Mathematicae Debrecen 6 Results in Mathematics 6 Opuscula Mathematica 6 Differential Equations and Dynamical Systems 6 Nonlinear Dynamics and Systems Theory 5 Funkcialaj Ekvacioj. Serio Internacia 5 Mathematische Nachrichten 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 Applicable Analysis and Discrete Mathematics 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 Rocky Mountain Journal of Mathematics 3 Archivum Mathematicum 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 Mathematica Bohemica 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Sciences (New York) 3 Dynamics of Continuous, Discrete and Impulsive Systems 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 Mathematical Methods in the Applied Sciences 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 Stochastic Analysis and Applications 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 Georgian Mathematical Journal 2 Functional Differential Equations 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 International Electronic Journal of Pure and Applied Mathematics 2 Springer Proceedings in Mathematics & Statistics 2 Fractional Differential Calculus 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 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 1 Filomat 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Neliniĭni Kolyvannya ...and 18 more Serials
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### Fields

 386 Ordinary differential equations (34-XX) 93 Difference and functional equations (39-XX) 69 Operator theory (47-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Partial differential equations (35-XX) 19 Integral equations (45-XX) 15 General and overarching topics; collections (00-XX) 14 Real functions (26-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)

### Citations contained in zbMATH Open

342 Publications have been cited 2,869 times in 2,094 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
Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem. Zbl 1203.34028
Graef, John R.; Kong, Lingju; Wang, Haiyan
2008
On the generalized Lienard equation with negative damping. Zbl 0254.34038
Graef, John R.
1972
Implicit fractional differential and integral equations. Existence and stability. Zbl 1390.34002
Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Henderson, Johnny
2018
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
A three point boundary value problem for nonlinear fourth order differential equations. Zbl 1054.34038
Graef, John R.; Qian, Chuanxi; Yang, Bo
2003
Positive solutions to a multi-point higher order boundary value problem. Zbl 1101.34004
Graef, John R.; Yang, Bo
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
2012
Impulsive differential inclusions. A fixed point approach. Zbl 1285.34002
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
2013
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
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
A variational approach to a Kirchhoff-type problem involving two parameters. Zbl 1275.35108
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2013
A periodic boundary value problem with vanishing Green’s function. Zbl 1135.34307
Graef, John R.; Kong, Lingju; Wang, Haiyan
2008
Existence and nonexistence of positive solutions of fourth order nonlinear boundary value problems. Zbl 1031.34025
Graef, John R.; Yang, Bo
2000
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
On a nonlinear boundary value problem for fourth order equations. Zbl 1031.34017
Graef, John R.; Yang, Bo
1999
Positive solutions for third order semipositone boundary value problems. Zbl 1173.34313
Graef, John R.; Kong, Lingju
2009
On the oscillation of higher-order delay differential equations. Zbl 1267.34121
Baculíková, B.; Džurina, J.; Graef, J. R.
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
Positive solutions of a third order nonlocal boundary value problem. Zbl 1153.34014
Graef, John R.; Yang, Bo
2008
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
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 and global attractivity in a periodic delay equation. Zbl 0870.34073
Graef, J. R.; Qian, C.; Spikes, P. W.
1996
Oscillation theorems for perturbed nonlinear differential equations. Zbl 0405.34035
Graef, John R.; Rankin, Samuel M.; Spikes, Paul W.
1978
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
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
Asymptotic behavior of solutions of a second order nonlinear differential equation. Zbl 0298.34028
Graef, John R.; Spikes, Paul W.
1975
Positive solutions of a nonlinear higher order boundary-value problem. Zbl 1117.34023
Graef, John R.; Henderson, Johnny; Yang, Bo
2007
Oscillation of impulsive neutral delay differential equations. Zbl 1004.34054
Graef, J. R.; Shen, J. H.; Stavroulakis, I. P.
2002
Oscillation of integro-dynamic equations on time scales. Zbl 1261.45005
Grace, Said R.; Graef, John R.; Zafer, Ağacık
2013
Oscillation theorems for fourth order functional differential equations. Zbl 1188.34085
Grace, Said R.; Agarwal, Ravi P.; Graef, John R.
2009
Oscillation and comparison theorems for half-linear second-order difference equations. Zbl 0983.39006
Thandapani, E.; Ravi, K.; Graef, J. R.
2001
Higher order boundary value problems with $$\phi$$-Laplacian and functional boundary conditions. Zbl 1222.34020
Graef, John R.; Kong, Lingju; Minhós, Feliz M.
2011
Existence of multiple periodic solutions for first order functional differential equations. Zbl 1235.34190
Graef, John R.; Kong, Lingju
2011
Positive solutions of a nonlinear fourth order boundary value problem. Zbl 1136.34024
Graef, John R.; Yang, Bo
2007
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
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
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
Periodic solutions of first order functional differential equations. Zbl 1241.34077
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 for a fractional boundary value problem. Zbl 1335.34016
Graef, John R.; Kong, Lingju; Yang, Bo
2016
Symmetric positive solutions of nonlinear boundary value problems. Zbl 1117.34024
Graef, John R.; Kong, Lingju; Kong, Qingkai
2007
Fractional boundary value problems with integral boundary conditions. Zbl 1385.34010
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2013
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
Continuability and boundedness of multi-delay functional integro-differential equations of the second order. Zbl 1319.34130
Graef, John R.; Tunç, Cemil
2015
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
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
Oscillatory and asymptotic behavior of solutions of third order delay difference equations. Zbl 1141.39301
Graef, John R.; Thandapani, E.
1999
A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems. Zbl 1119.34020
Graef, John R.; Kong, Lingju
2007
Higher-order singular multi-point boundary-value problems on time scales. Zbl 1223.34122
Dogan, Abdulkadir; Graef, John R.; Kong, Lingju
2011
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 a third-order nonlinear neutral differential equation. Zbl 1403.34050
Graef, John R.; Tunç, Ercan; Grace, Said R.
2017
Topological methods for differential equations and inclusions. Zbl 1411.34002
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
2019
Nonlinear implicit differential equations of fractional order at resonance. Zbl 1358.34008
Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R.
2016
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
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
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
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
Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order. Zbl 0377.34023
Graef, John R.
1977
Solutions of second order multi-point boundary value problems. Zbl 1166.34007
Graef, John R.; Kong, Lingju
2008
Higher order semipositone multi-point boundary value problems on time scales. Zbl 1198.34193
Dogan, Abdulkadir; Graef, John R.; Kong, Lingju
2010
Limit circle criteria and related properties for nonlinear equations. Zbl 0441.34024
Graef, John R.
1980
A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems. Zbl 1337.65104
Graef, John R.; Kong, Lingju; Wang, Min
2014
A nonoscillation result for second order ordinary differential equations. Zbl 0339.34031
Graef, J. R.; Spikes, P. W.
1975
Existence of multiple solutions to a discrete fourth order periodic boundary value problem. Zbl 1307.39004
Graef, John R.; Kong, Lingju; Wang, Min
2013
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 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
Stability and square integrability of solutions of nonlinear third order differential equations. Zbl 1326.34088
Graef, John R.; Oudjedi, Lynda D.; Remili, Moussadek
2015
On the nonlinear limit-point/limit-circle problem. Zbl 0535.34023
Graef, John R.; Spikes, Paul W.
1983
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
Oscillation theory of third-order nonlinear functional differential equations. Zbl 1272.34092
Graef, John R.; Saker, Samir H.
2013
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
Oscillatory behavior of second order nonlinear differential equations with a sublinear neutral term. Zbl 07394609
Grace, Said R.; Graef, John R.
2018
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
Oscillation of second-order Emden-Fowler neutral differential equations. Zbl 1305.34121
Graef, John R.; Li, Tongxing; Thandapani, E.; Tunc, Ercan
2013
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
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
Positive solutions of a nonlinear third order eigenvalue problem. Zbl 1106.34013
Graef, John R.; Yang, Bo
2006
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
Extremal solutions for nonresonance impulsive functional dynamic equations on time scales. Zbl 1135.39009
Graef, John R.; Ouahab, Abdelghani
2008
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
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
Existence results for nonlinear periodic boundary-value problems. Zbl 1178.34024
Graef, John R.; Kong, Lingju
2009
Existence of solutions for a higher order multi-point boundary value problem. Zbl 1173.34008
Graef, John R.; Kong, Lingju; Yang, Bo
2009
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
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
Existence of solutions for nonlinear boundary value problems. Zbl 1145.34007
Graef, John R.; Kong, Lingju
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 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.
1997
Global existence and stability for second order functional evolution equations with infinite delay. Zbl 1363.34261
Graef, John; Baliki, Abdessalam; Benchohra, Mouffak
2016
Asymptotic behavior of forced delay equations with periodic coefficients. Zbl 0903.34061
Graef, J. R.; Qian, C.
1998
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
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
Oscillation of higher order functional differential equations with an advanced argument. Zbl 07258421
Graef, John R.
2021
Oscillation results using linearization of quasi-linear second order delay difference equations. Zbl 1477.39004
Kanagasabapathi, R.; Selvarangam, S.; Graef, J. R.; Thandapani, E.
2021
Oscillation of damped second-order linear mixed neutral differential equations. Zbl 1462.34095
Graef, John R.; Özdemir, Orhan; Kaymaz, Adil; Tunç, Ercan
2021
Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with Caputo derivatives. Zbl 1482.45004
Graef, John R.; Tunç, Cemil; Şevli, Hamdullah
2021
Stability analysis of a fractional online social network model. Zbl 07318158
Graef, John R.; Kong, Lingju; Ledoan, Andrew; Wang, Min
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
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
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
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
2019
Topological methods for differential equations and inclusions. Zbl 1411.34002
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
2019
Existence results for systems of second-order impulsive differential equations. Zbl 07007920
Graef, J. R.; Kadari, H.; Ouahab, A.; Oumansour, A.
2019
Implicit Hadamard fractional differential equations with impulses under weak topologies. Zbl 1421.34002
Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Lazreg, Jamal-Eddine
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
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
2019
Some topological and combinatorial properties preserved by inverse limits. Zbl 07289586
Grace, Said R.; Graef, John R.; Jadlovská, Irena
2019
On the asymptotic behavior of solutions of certain integro-differential equations. Zbl 1458.34118
Grace, Said R.; Graef, John R.; Tunc, Ercan
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
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
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
Oscillatory behavior of second order nonlinear differential equations with a sublinear neutral term. Zbl 07394609
Grace, Said R.; Graef, John R.
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
Stability and square integrability of solutions to third order neutral delay differential equations. Zbl 07005891
Graef, John R.; Oudjedi, Linda D.; Remili, Moussadek
2018
Multiple positive solutions for a boundary value problem with nonlinear nonlocal Riemann-Stieltjes integral boundary conditions. Zbl 1406.34015
2018
Oscillation of even-order advanced functional differential equations. Zbl 1424.34225
Graef, John R.; Grace, Said R.; Tunç, Ercan
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
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
Existence of solutions to an impulsive Dirichlet boundary value problem. Zbl 1391.34062
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2018
Infinitely many solutions for non-homogeneous Neumann problems in Orlicz-Sobolev spaces. Zbl 06924554
Shokooh, Saeid; Afrouzi, Ghasem A.; Graef, John R.
2018
Asymptotic behavior of the solutions of a third-order nonlinear differential equation. Zbl 1390.34086
Graef, J. R.; Remili, M.
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
On Urysohn-Volterra fractional quadratic integral equations. Zbl 1453.45001
Darwish, Mohamed Abdalla; Graef, John R.; Sadarangani, Kishin
2018
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
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
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
Multivalued versions of a Krasnosel’skii-type fixed point theorem. Zbl 1453.47008
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
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
Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting. Zbl 1413.35186
Afrouzi, Ghasem A.; Graef, John R.; Shokooh, Saeid
2017
Generalized Hammerstein equations and applications. Zbl 1371.45008
Graef, John; Kong, Lingju; Minhós, Feliz
2017
On a fractional boundary value problem with a perturbation term. Zbl 1474.34169
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2017
On the oscillation of certain integral equations. Zbl 1413.45009
Graef, J. R.; Grace, S. R.; Tunç, E.
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
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
Multiple solutions for systems of Sturm-Liouville boundary value problems. Zbl 1360.34056
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
2016
Asymptotic behavior of solutions of forced fractional differential equations. Zbl 1389.34013
Grace, Said; Graef, John; Tunc, Ercan
2016
Oscillatory behavior of a third-order neutral dynamic equation with distributed delays. Zbl 1389.34204
Grace, Said; Graef, John; Tunc, Ercan
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
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
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
Continuability and boundedness of multi-delay functional integro-differential equations of the second order. Zbl 1319.34130
Graef, John R.; Tunç, Cemil
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
Global asymptotic stability and boundedness of certain multi-delay functional differential equations of third order. Zbl 1335.34114
Graef, John R.; Tunç, Cemil
2015
Fractional differential inclusions in the Almgren sense. Zbl 1316.34005
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
2015
Multiple solutions of systems of fractional boundary value problems. Zbl 1323.34007
Graef, John R.; Kong, Lingju; Kong, Qingkai
2015
Existence of homoclinic solutions for second order difference equations with $$p$$-Laplacian. Zbl 1335.39007
Wang, Min; Kong, Lingju; Graef, John
2015
Compression fixed point theorems of operator type. Zbl 1342.47070
Avery, Richard I.; Graef, John R.; Liu, Xueyan
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
Oscillation of fourth-order nonlinear dynamic equations on time scales. Zbl 1336.34131
Graef, John R.; Tunç, Ercan
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
Functional differential equations with delay and random effects. Zbl 1344.34080
Benaissa, Amel; Benchohra, Mouffak; Graef, John R.
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
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
Oscillation results for second order neutral dynamic equations with distributed deviating arguments. Zbl 1312.34143
Tunç, Ercan; Graef, John R.
2014
Periodic solutions of first-order functional differential equations in population dynamics. Zbl 1312.34002
2014
Positive solutions for abstract Hammerstein equations and applications. Zbl 1296.47056
Benmezai, Abdelhamid; Graef, John R.; Kong, Lingju
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
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
Oscillation theory of third-order nonlinear functional differential equations. Zbl 1272.34092
Graef, John R.; Saker, Samir H.
2013
Oscillation of second-order Emden-Fowler neutral differential equations. Zbl 1305.34121
Graef, John R.; Li, Tongxing; Thandapani, E.; 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
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
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
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
Oscillation results for fourth-order nonlinear neutral dynamic equations. Zbl 1280.34094
Panigrahi, Saroj; Graef, John R.; Reddy, P. Rami
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 nonlocal fractional boundary value problems. Zbl 1310.34006
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2013
Positive solutions of boundary value problems for discrete and continuous beam equations. Zbl 1383.34039
Graef, John R.; Kong, Lingju; Yang, Bo
2013
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