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## Kong, Qingkai

Compute Distance To:
 Author ID: kong.qingkai Published as: Kong, Q.; Kong, Qing Kai; Kong, Qingkai Homepage: http://www.math.niu.edu/faculty/index.php?cmd=detail&id=32 External Links: MGP
 Documents Indexed: 152 Publications since 1983, including 3 Books Reviewing Activity: 142 Reviews Biographic References: 1 Publication
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#### Co-Authors

 21 single-authored 41 Kong, Lingju 25 Zettl, Anton 17 Graef, John R. 17 Wang, Min 17 Wu, Hongyou 12 Erbe, Lynn Harry 7 Dhar, Sougata 7 Hassan, Taher S. 6 Zhang, Binggen 4 St. George, Thomas E. 4 Wong, James S. W. 3 Wang, Qiru 2 Cao, Xifang 2 Chamberlain, Jeremy 2 Del Medico, Amy 2 Freedman, Herbert Irving 2 Pašić, Mervan 2 Wang, Xiaofei 2 Yang, Bo 1 Bailey, Paul B. 1 Bainov, Drumi Dimitrov 1 Bellout, Hamid 1 Billingham, John 1 Binggen, Zhang 1 Cooper, Richard J. 1 Eastham, Michael S. P. 1 Everitt, William Norrie 1 Haertzen, Kevin 1 Harris, Bernard J. 1 Kelly, Jessica Stewart 1 King, Andrew C. 1 Kwong, Man Kam 1 Liao, Xiao Xin 1 Lin, Qun 1 McCabe, Michael 1 Minchev, Emil 1 Möller, Manfred 1 Piao, Daxiong 1 Ruan, Shigui 1 Shi, Yuming 1 Sun, Huaqing 1 Sun, Yijun 1 Sun, Yuangong 1 Volkmer, Hans 1 Zafer, Ağacık 1 Zhang, Shaoyan 1 Zheng, Zhaowen 1 Zhu, Zhiqiang
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#### Serials

 9 Journal of Mathematical Analysis and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Electronic Journal of Qualitative Theory of Differential Equations 6 Mathematische Nachrichten 6 Dynamic Systems and Applications 5 Computers & Mathematics with Applications 5 Journal of Differential Equations 5 Results in Mathematics 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Electronic Journal of Differential Equations (EJDE) 4 Communications in Applied Analysis 3 Applicable Analysis 3 Rocky Mountain Journal of Mathematics 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Proceedings of the American Mathematical Society 3 Journal of Difference Equations and Applications 3 Differential Equations and Applications 2 Canadian Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Journal of Shandong College of Oceanology 2 Applied Mathematics Letters 2 Journal of Ocean University of Qingdao 2 Discrete and Continuous Dynamical Systems 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Applied Analysis and Computation 2 Nonlinear Analysis. Theory, Methods & Applications 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hiroshima Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Utilitas Mathematica 1 Annals of Differential Equations 1 Differential and Integral Equations 1 Panamerican Mathematical Journal 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 The Canadian Applied Mathematics Quarterly 1 Far East Journal of Mathematical Sciences 1 Opuscula Mathematica 1 Nonlinear Studies 1 Communications on Applied Nonlinear Analysis 1 Functional Differential Equations 1 Differential Equations and Dynamical Systems 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Mathematical Modelling and Analysis 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Nonlinear Dynamics and Systems Theory 1 Cubo Matemática Educacional 1 Mediterranean Journal of Mathematics 1 Pure and Applied Mathematics, Marcel Dekker 1 Fractional Differential Calculus 1 Universitext
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#### Fields

 136 Ordinary differential equations (34-XX) 19 Difference and functional equations (39-XX) 18 Operator theory (47-XX) 6 Real functions (26-XX) 6 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 1 Functions of a complex variable (30-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

122 Publications have been cited 1,422 times in 952 Documents Cited by Year
Oscillation theory for functional differential equations. Zbl 0821.34067
Erbe, L. H.; Kong, Qingkai; Zhang, B. G.
1994
Interval criteria for oscillation of second-order linear ordinary differential equations. Zbl 0924.34026
Kong, Qingkai
1999
Dependence of the $$n$$th Sturm-Liouville eigenvalue on the problem. Zbl 0932.34081
Kong, Qingkai; Wu, Hongyou; Zettl, Anton
1999
Eigenvalues of regular Sturm-Liouville problems. Zbl 0862.34020
Kong, Q.; Zettl, A.
1996
Kamenev type theorems for second order matrix differential systems. Zbl 0777.34024
Erbe, Lynn H.; Kong, Qingkai; Ruan, Shigui
1993
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
Boundary value problems for singular second-order functional differential equations. Zbl 0816.34046
Erbe, L. H.; Kong, Qingkai
1994
Left-definite Sturm-Liouville problems. Zbl 1002.34016
Kong, Q.; Wu, H.; Zettl, A.
2001
Multi-point boundary value problems of second-order differential equations. I. Zbl 1066.34012
Kong, Lingju; Kong, Qingkai
2004
Sturm-Liouville problems with finite spectrum. Zbl 1001.34019
Kong, Q.; Wu, H.; Zettl, A.
2001
Inequalities among eigenvalues of Sturm-Liouville problems. Zbl 0927.34017
Eastham, M. S. P.; Kong, Q.; Wu, H.; Zettl, A.
1999
Geometric aspects of Sturm-Liouville problems. I: Structures on spaces of boundary conditions. Zbl 0957.34024
Kong, Q.; Wu, H.; Zettl, A.
2000
Dependence of eigenvalues on the problem. Zbl 0888.34017
Kong, Q.; Wu, H.; Zettl, A.
1997
Matrix representations of Sturm-Liouville problems with finite spectrum. Zbl 1185.34032
Kong, Qingkai; Volkmer, Hans; Zettl, Anton
2009
Kamenev-type and interval oscillation criteria for second-order linear differential equations on a measure chain. Zbl 1056.34050
Del Medico, Amy; Kong, Qingkai
2004
Dependence of eigenvalues of Sturm-Liouville problems on the boundary. Zbl 0856.34027
Kong, Q.; Zettl, A.
1996
Existence and nonexistence of solutions of second-order nonlinear boundary value problems. Zbl 1119.34024
Kong, Qingkai
2007
Indefinite Sturm-Liouville problems. Zbl 1056.34038
Kong, Q.; Wu, H.; Zettl, A.; Möller, M.
2003
Second-order boundary value problems with nonhomogeneous boundary conditions. I. Zbl 1060.34005
Kong, Lingju; Kong, Qingkai
2005
Singular left-definite Sturm–Liouville problems. Zbl 1058.34029
Kong, Q.; Wu, H.; Zettl, A.
2004
Sturm-Liouville problems on time scales with separated boundary conditions. Zbl 1153.39022
Kong, Qingkai
2008
Second-order boundary value problems with nonhomogeneous boundary conditions. II. Zbl 1119.34009
Kong, Lingju; Kong, Qingkai
2007
Positive solutions of boundary value problems for third-order functional difference equations. Zbl 1057.39014
Kong, Lingju; Kong, Qingkai; Zhang, Binggen
2002
Higher order boundary value problems with nonhomogeneous boundary conditions. Zbl 1191.34032
Kong, Lingju; Kong, Qingkai
2010
Symmetric positive solutions of nonlinear boundary value problems. Zbl 1117.34024
Graef, John R.; Kong, Lingju; Kong, Qingkai
2007
Positive solutions of higher-order boundary-value problems. Zbl 1084.34023
Kong, Lingju; Kong, Qingkai
2005
New Kamenev-type oscillation criteria for second-order differential equations on a measure chain. Zbl 1085.39014
Del Medico, A.; Kong, Qingkai
2005
Fractional boundary value problems with integral boundary conditions. Zbl 1385.34010
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2013
On the oscillation of differential equations with an oscillatory coefficient. Zbl 0829.34025
Harris, B. J.; Kong, Q.
1995
Nodal solutions of multi-point boundary value problems. Zbl 1195.34028
Kong, Lingju; Kong, Qingkai; Wong, James S. W.
2010
Limits of Sturm-Liouville eigenvalues when the interval shrinks to an end point. Zbl 1160.34022
Kong, Qingkai; Wu, Hongyou; Zettl, Anton
2008
Fractional boundary value problems and Lyapunov-type inequalities with fractional integral boundary conditions. Zbl 1363.34005
Dhar, Sougata; Kong, Qingkai; McCabe, Michael
2016
Interval criteria for forced oscillation with nonlinearities given by Riemann-Stieltjes integrals. Zbl 1228.34055
Sun, Yuangong; Kong, Qingkai
2011
Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints. Zbl 1088.34018
Kong, L.; Kong, Q.; Wu, H.; Zettl, A.
2004
Liapunov-type inequalities for third-order half-linear equations and applications to boundary value problems. Zbl 1309.34026
Dhar, Sougata; Kong, Qingkai
2014
Positive solutions of even order system periodic boundary value problems. Zbl 1195.34036
Kong, Qingkai; Wang, Min
2010
Sturm-Liouville problems whose leading coefficient function changes sign. Zbl 1055.34051
Cao, Xifang; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
2003
Linear ordinary differential equations. Zbl 0886.34007
Kong, Q.; Zettl, Anton
1994
Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices. Zbl 1385.45005
Zheng, Zhaowen; Kong, Qingkai
2018
Positive solutions to a fourth order boundary value problem. Zbl 1218.34024
Graef, John R.; Kong, Lingju; Kong, Qingkai; Yang, Bo
2011
Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the $$n$$th eigenvalue. Zbl 1133.34019
Cao, Xifang; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
2007
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
Inverse Sturm-Liouville problems with finite spectrum. Zbl 1232.34023
Kong, Qingkai; Zettl, Anton
2012
The study of Jacobi and cyclic Jacobi matrix eigenvalue problems using Sturm-Liouville theory. Zbl 1210.15011
Kong, Qingkai; Zettl, Anton
2011
Nodal solutions of boundary value problems with boundary conditions involving Riemann-Stieltjes integrals. Zbl 1220.34027
Chamberlain, Jeremy; Kong, Lingju; Kong, Qingkai
2011
Higher order multi-point boundary value problems. Zbl 1222.34019
Graef, John R.; Kong, Lingju; Kong, Qingkai
2011
Nodal solutions of second order nonlinear boundary value problems. Zbl 1189.34043
Kong, Lingju; Kong, Qingkai
2009
Positive solutions of nonlinear $$m$$-point boundary value problems on a measure chain. Zbl 1037.34015
Kong, Lingju; Kong, Qingkai
2003
Nonoscillation of a class of neutral differential equations. Zbl 1045.34042
Kong, Qingkai; Sun, Yijun; Zhang, Binggen
2002
Lyapunov-type inequalities for higher order half-linear differential equations. Zbl 1410.34102
Dhar, Sougata; Kong, Qingkai
2016
Positive solutions of nonlinear fractional boundary value problems with Dirichlet boundary conditions. Zbl 1340.34020
Kong, Qingkai; Wang, Min
2012
Geometric aspects of Sturm-Liouville problems. II: Space of boundary conditions for left-definiteness. Zbl 1056.34037
Haertzen, Kevin; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
2004
Inequalities among eigenvalues of singular Sturm-Liouville problems. Zbl 0942.34020
Kong, Q.; Wu, H.; Zettl, A.
1999
Oscillation for systems of functional differential equations. Zbl 0863.34072
Kong, Qingkai
1996
Oscillation and nonoscillation properties of neutral differential equations. Zbl 0797.34072
Erbe, L. H.; Kong, Qingkai
1994
Lyapunov-type inequalities for third-order linear differential equations. Zbl 1345.34029
Dhar, Sougata; Kong, Qingkai
2016
Multiple solutions of systems of fractional boundary value problems. Zbl 1323.34007
Graef, John R.; Kong, Lingju; Kong, Qingkai
2015
Linear Sturm-Liouville problems with multi-point boundary conditions. Zbl 1286.34048
Kong, Lingju; Kong, Qingkai; Kwong, Man K.; Wong, James S. W.
2013
Interval criteria for forced oscillation of differential equations with $$p$$-Laplacian and nonlinearities given by Riemann-Stieltjes integrals. Zbl 1258.34065
Hassan, Taher S.; Kong, Qingkai
2012
Interval criteria for forced oscillation of differential equations with $$p$$-Laplacian, damping, and mixed nonlinearities. Zbl 1251.34050
Hassan, Taher S.; Kong, Qingkai
2011
Multiplicity of Sturm–Liouville eigenvalues. Zbl 1069.34124
Kong, Q.; Wu, H.; Zettl, A.
2004
Even order nonlinear eigenvalue problems on a measure chain. Zbl 1024.34021
Kong, Lingju; Kong, Qingkai
2003
Oscillation criteria for second order half-linear differential equations. Zbl 0924.34025
Kong, Qingkai
1999
Dissipation, boundedness and persistence of general ecological systems. Zbl 0837.92025
Kong, Qingkai; Liao, Xiaoxin
1995
Oscillation of partial differential equations with deviating arguments. Zbl 0799.35214
Erbe, L. H.; Kong, Q.; Zhang, B. G.
1993
Oscillations in delay differential systems. Zbl 0780.34049
Kong, Qingkai; Freedman, H. I.
1993
Oscillation results for second order neutral differential equations. Zbl 0787.34057
Erbe, L. H.; Kong, Q.
1992
Stieltjes integral inequalities of Gronwall type and applications. Zbl 0736.26007
Erbe, L. H.; Kong, Qing Kai
1990
Essential spectrum of singular discrete linear Hamiltonian systems. Zbl 1353.39008
Sun, Huaqing; Kong, Qingkai; Shi, Yuming
2016
Asymptotic and oscillatory behavior of $$n$$th-order half-linear dynamic equations. Zbl 1310.34123
Hassan, Taher S.; Kong, Qingkai
2014
A short course in ordinary differential equations. Zbl 1326.34007
Kong, Qingkai
2014
Positive solutions of nonlocal fractional boundary value problems. Zbl 1310.34006
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2013
Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086
Graef, John R.; Kong, Lingju; Kong, Qingkai
2012
Positive solutions of even order periodic boundary value problems. Zbl 1238.34045
Kong, Qingkai; Wang, Min
2011
Multi-point boundary value problems of second-order differential equations. II. Zbl 1140.34008
Kong, Lingju; Kong, Qingkai
2007
A telescoping principle for oscillation of second order differential equations on a time scale. Zbl 1156.34021
Erbe, Lynn; Kong, Lingju; Kong, Qingkai
2006
Oscillation of second order matrix differential systems. Zbl 0993.34034
Kong, Qingkai
2000
Oscillatory and asymptotic behavior of a discrete logistic model. Zbl 0836.39004
Kong, Q.
1995
Interval oscillation conditions for difference equations. Zbl 0828.39002
Kong, Q.; Zettl, A.
1995
Explicit conditions for oscillation of neutral differential systems. Zbl 0811.34053
Erbe, L.; Kong, Qingkai
1994
Lyapunov-type inequalities for odd order linear differential equations. Zbl 1358.34032
Dhar, Sougata; Kong, Qingkai
2016
Second-order differential equations: some significant results due to James S.W. Wong. Zbl 1294.34038
Kong, Qingkai; Pašić, Mervan
2014
Eigenvalue approach to even order system periodic boundary value problems. Zbl 1267.34048
Kong, Qingkai; Wang, Min
2013
Using time scales to study multi-interval Sturm-Liouville problems with interface conditions. Zbl 1263.34032
Kong, Qingkai; Wang, Qi-Ru
2013
On a generalized discrete beam equation via variational methods. Zbl 1278.39005
Graef, John R.; Kong, Lingju; Kong, Qingkai
2012
Oscillation of a forced second order differential equation with a deviating argument. Zbl 1234.34043
Kong, Qingkai; Wong, James S. W.
2010
Existence of nodal solutions of multi-point boundary value problems. Zbl 1236.34027
Kong, Lingju; Kong, Qingkai
2009
Nodal solutions of nonlocal boundary value problems. Zbl 1193.34032
Chamberlain, J.; Kong, Lingju; Kong, Qingkai
2009
Right-definite half-linear Sturm-Liouville problems. Zbl 1131.34020
Kong, Lingju; Kong, Qingkai
2007
Nonoscillation and oscillation of second order half-linear differential equations. Zbl 1123.34027
Kong, Qingkai
2007
Lyapunov-type inequalities for $$\alpha$$-th order fractional differential equations with $$2<\alpha\leq 3$$ and fractional boundary conditions. Zbl 1370.34012
Dhar, Sougata; Kong, Qingkai
2017
Oscillation criteria for higher-order nonlinear dynamic equations with Laplacians and a deviating argument on time scales. Zbl 1370.34148
Hassan, Taher S.; Kong, Qingkai
2017
Asymptotics and oscillation of $$n$$th-order nonlinear dynamic equations on time scales. Zbl 1410.34273
Zhang, Shao-Yan; Wang, Qi-Ru; Kong, Qingkai
2016
Oscillation criteria for second order nonlinear dynamic equations with $$p$$-Laplacian and damping. Zbl 1299.34295
Hassan, Taher S.; Kong, Qingkai
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
Oscillation of forced impulsive differential equations with $$p$$-Laplacian and nonlinearities given by Riemann-Stieltjes integrals. Zbl 1340.34128
Hassan, T.; Kong, Qingkai
2012
Dependence of the unique solution of a periodic boundary value problem on the parameter. Zbl 1228.34030
Bellout, Hamid; Kong, Qingkai; Wang, Min
2011
Nonlinear initial value problems with $$p$$-Laplacian. Zbl 1213.34013
Kong, Qingkai; Wang, Xiaofei
2010
Existence of three solutions for a higher-order boundary-value problem. Zbl 1173.34014
Graef, John R.; Kong, Lingju; Kong, Qingkai
2009
On some eigenvalue problems in fuel-cell dynamics. Zbl 1056.34091
Bailey, P. B.; Billingham, J.; Cooper, R. J.; Everitt, W. N.; King, A. C.; Kong, Q.; Wu, H.; Zettl, A.
2003
Lower bounds for the eigenvalues of first-order nonlinear Hamiltonian systems on time scales. Zbl 1408.34073
Kong, Qingkai; Zafer, Ağacık
2019
Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices. Zbl 1385.45005
Zheng, Zhaowen; Kong, Qingkai
2018
Lyapunov-type inequalities for $$\alpha$$-th order fractional differential equations with $$2<\alpha\leq 3$$ and fractional boundary conditions. Zbl 1370.34012
Dhar, Sougata; Kong, Qingkai
2017
Oscillation criteria for higher-order nonlinear dynamic equations with Laplacians and a deviating argument on time scales. Zbl 1370.34148
Hassan, Taher S.; Kong, Qingkai
2017
Fractional boundary value problems and Lyapunov-type inequalities with fractional integral boundary conditions. Zbl 1363.34005
Dhar, Sougata; Kong, Qingkai; McCabe, Michael
2016
Lyapunov-type inequalities for higher order half-linear differential equations. Zbl 1410.34102
Dhar, Sougata; Kong, Qingkai
2016
Lyapunov-type inequalities for third-order linear differential equations. Zbl 1345.34029
Dhar, Sougata; Kong, Qingkai
2016
Essential spectrum of singular discrete linear Hamiltonian systems. Zbl 1353.39008
Sun, Huaqing; Kong, Qingkai; Shi, Yuming
2016
Lyapunov-type inequalities for odd order linear differential equations. Zbl 1358.34032
Dhar, Sougata; Kong, Qingkai
2016
Asymptotics and oscillation of $$n$$th-order nonlinear dynamic equations on time scales. Zbl 1410.34273
Zhang, Shao-Yan; Wang, Qi-Ru; Kong, Qingkai
2016
Linear Sturm-Liouville problems with general homogeneous linear multi-point boundary conditions. Zbl 1357.34046
Kong, Qingkai; George, Thomas E. St.
2016
Multiple solutions of systems of fractional boundary value problems. Zbl 1323.34007
Graef, John R.; Kong, Lingju; Kong, Qingkai
2015
Liapunov-type inequalities for third-order half-linear equations and applications to boundary value problems. Zbl 1309.34026
Dhar, Sougata; Kong, Qingkai
2014
Asymptotic and oscillatory behavior of $$n$$th-order half-linear dynamic equations. Zbl 1310.34123
Hassan, Taher S.; Kong, Qingkai
2014
A short course in ordinary differential equations. Zbl 1326.34007
Kong, Qingkai
2014
Second-order differential equations: some significant results due to James S.W. Wong. Zbl 1294.34038
Kong, Qingkai; Pašić, Mervan
2014
Existence of Nodal solutions of boundary value problems with two multi-point boundary conditions. Zbl 1312.34052
Kong, Qingkai; George, Thomas E. St.
2014
Existence and uniqueness of solutions for a fractional boundary value problem with a separated boundary condition. Zbl 1310.34008
Kong, Lingju; Kong, Qingkai; Wang, Min
2014
Fractional boundary value problems with integral boundary conditions. Zbl 1385.34010
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
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
Linear Sturm-Liouville problems with multi-point boundary conditions. Zbl 1286.34048
Kong, Lingju; Kong, Qingkai; Kwong, Man K.; Wong, James S. W.
2013
Positive solutions of nonlocal fractional boundary value problems. Zbl 1310.34006
Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min
2013
Eigenvalue approach to even order system periodic boundary value problems. Zbl 1267.34048
Kong, Qingkai; Wang, Min
2013
Using time scales to study multi-interval Sturm-Liouville problems with interface conditions. Zbl 1263.34032
Kong, Qingkai; Wang, Qi-Ru
2013
Oscillation criteria for second order nonlinear dynamic equations with $$p$$-Laplacian and damping. Zbl 1299.34295
Hassan, Taher S.; Kong, Qingkai
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
Matching method for nodal solutions of multi-point boundary value problems. Zbl 1279.34033
Kong, Qingkai; George, Thomas E. St.
2013
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
Inverse Sturm-Liouville problems with finite spectrum. Zbl 1232.34023
Kong, Qingkai; Zettl, Anton
2012
Positive solutions of nonlinear fractional boundary value problems with Dirichlet boundary conditions. Zbl 1340.34020
Kong, Qingkai; Wang, Min
2012
Interval criteria for forced oscillation of differential equations with $$p$$-Laplacian and nonlinearities given by Riemann-Stieltjes integrals. Zbl 1258.34065
Hassan, Taher S.; Kong, Qingkai
2012
Application of the mixed monotone operator method to fractional boundary value problems. Zbl 1412.34086
Graef, John R.; Kong, Lingju; Kong, Qingkai
2012
On a generalized discrete beam equation via variational methods. Zbl 1278.39005
Graef, John R.; Kong, Lingju; Kong, Qingkai
2012
Oscillation of forced impulsive differential equations with $$p$$-Laplacian and nonlinearities given by Riemann-Stieltjes integrals. Zbl 1340.34128
Hassan, T.; Kong, Qingkai
2012
Interval criteria for forced oscillation with nonlinearities given by Riemann-Stieltjes integrals. Zbl 1228.34055
Sun, Yuangong; Kong, Qingkai
2011
Positive solutions to a fourth order boundary value problem. Zbl 1218.34024
Graef, John R.; Kong, Lingju; Kong, Qingkai; Yang, Bo
2011
The study of Jacobi and cyclic Jacobi matrix eigenvalue problems using Sturm-Liouville theory. Zbl 1210.15011
Kong, Qingkai; Zettl, Anton
2011
Nodal solutions of boundary value problems with boundary conditions involving Riemann-Stieltjes integrals. Zbl 1220.34027
Chamberlain, Jeremy; Kong, Lingju; Kong, Qingkai
2011
Higher order multi-point boundary value problems. Zbl 1222.34019
Graef, John R.; Kong, Lingju; Kong, Qingkai
2011
Interval criteria for forced oscillation of differential equations with $$p$$-Laplacian, damping, and mixed nonlinearities. Zbl 1251.34050
Hassan, Taher S.; Kong, Qingkai
2011
Positive solutions of even order periodic boundary value problems. Zbl 1238.34045
Kong, Qingkai; Wang, Min
2011
Dependence of the unique solution of a periodic boundary value problem on the parameter. Zbl 1228.34030
Bellout, Hamid; Kong, Qingkai; Wang, Min
2011
Higher order boundary value problems with two point separated nonhomogeneous boundary conditions. Zbl 1242.34037
Graef, John R.; Kong, Lingju; Kong, Qingkai; Yang, Bo
2011
Nonlinear boundary value problems with $$p$$-Laplacian. Zbl 1242.34032
Kong, Qingkai; Wang, Xiaofei
2011
Higher order boundary value problems with nonhomogeneous boundary conditions. Zbl 1191.34032
Kong, Lingju; Kong, Qingkai
2010
Nodal solutions of multi-point boundary value problems. Zbl 1195.34028
Kong, Lingju; Kong, Qingkai; Wong, James S. W.
2010
Positive solutions of even order system periodic boundary value problems. Zbl 1195.34036
Kong, Qingkai; Wang, Min
2010
Oscillation of a forced second order differential equation with a deviating argument. Zbl 1234.34043
Kong, Qingkai; Wong, James S. W.
2010
Nonlinear initial value problems with $$p$$-Laplacian. Zbl 1213.34013
Kong, Qingkai; Wang, Xiaofei
2010
Higher order multi-point boundary value problems with sign-changing nonlinearities and nonhomogeneous boundary conditions. Zbl 1211.34014
Graef, J. R.; Kong, Lingju; Kong, Qingkai; Wong, James S. W.
2010
Positive solutions of boundary value problems with $$p$$-Laplacian. Zbl 1203.34042
Kong, Qingkai; Wang, Min
2010
Matrix representations of Sturm-Liouville problems with finite spectrum. Zbl 1185.34032
Kong, Qingkai; Volkmer, Hans; Zettl, Anton
2009
Nodal solutions of second order nonlinear boundary value problems. Zbl 1189.34043
Kong, Lingju; Kong, Qingkai
2009
Existence of nodal solutions of multi-point boundary value problems. Zbl 1236.34027
Kong, Lingju; Kong, Qingkai
2009
Nodal solutions of nonlocal boundary value problems. Zbl 1193.34032
Chamberlain, J.; Kong, Lingju; Kong, Qingkai
2009
Existence of three solutions for a higher-order boundary-value problem. Zbl 1173.34014
Graef, John R.; Kong, Lingju; Kong, Qingkai
2009
Kamenev-type oscillation criteria for second-order matrix dynamic equations on time scales. Zbl 1184.34092
Kong, Qingkai; Wang, Qi-Ru; Zhu, Zhi-Qiang
2009
Uniqueness and parameter dependence of solutions of second-order boundary value problems. Zbl 1181.34021
Kong, Lingju; Kong, Qingkai
2009
Sturm-Liouville problems on time scales with separated boundary conditions. Zbl 1153.39022
Kong, Qingkai
2008
Limits of Sturm-Liouville eigenvalues when the interval shrinks to an end point. Zbl 1160.34022
Kong, Qingkai; Wu, Hongyou; Zettl, Anton
2008
Existence and nonexistence of solutions of second-order nonlinear boundary value problems. Zbl 1119.34024
Kong, Qingkai
2007
Second-order boundary value problems with nonhomogeneous boundary conditions. II. Zbl 1119.34009
Kong, Lingju; Kong, Qingkai
2007
Symmetric positive solutions of nonlinear boundary value problems. Zbl 1117.34024
Graef, John R.; Kong, Lingju; Kong, Qingkai
2007
Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the $$n$$th eigenvalue. Zbl 1133.34019
Cao, Xifang; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
2007
Multi-point boundary value problems of second-order differential equations. II. Zbl 1140.34008
Kong, Lingju; Kong, Qingkai
2007
Right-definite half-linear Sturm-Liouville problems. Zbl 1131.34020
Kong, Lingju; Kong, Qingkai
2007
Nonoscillation and oscillation of second order half-linear differential equations. Zbl 1123.34027
Kong, Qingkai
2007
A telescoping principle for oscillation of second order differential equations on a time scale. Zbl 1156.34021
Erbe, Lynn; Kong, Lingju; Kong, Qingkai
2006
Second-order boundary value problems with nonhomogeneous boundary conditions. I. Zbl 1060.34005
Kong, Lingju; Kong, Qingkai
2005
Positive solutions of higher-order boundary-value problems. Zbl 1084.34023
Kong, Lingju; Kong, Qingkai
2005
New Kamenev-type oscillation criteria for second-order differential equations on a measure chain. Zbl 1085.39014
Del Medico, A.; Kong, Qingkai
2005
Multi-point boundary value problems of second-order differential equations. I. Zbl 1066.34012
Kong, Lingju; Kong, Qingkai
2004
Kamenev-type and interval oscillation criteria for second-order linear differential equations on a measure chain. Zbl 1056.34050
Del Medico, Amy; Kong, Qingkai
2004
Singular left-definite Sturm–Liouville problems. Zbl 1058.34029
Kong, Q.; Wu, H.; Zettl, A.
2004
Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints. Zbl 1088.34018
Kong, L.; Kong, Q.; Wu, H.; Zettl, A.
2004
Geometric aspects of Sturm-Liouville problems. II: Space of boundary conditions for left-definiteness. Zbl 1056.34037
Haertzen, Kevin; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
2004
Multiplicity of Sturm–Liouville eigenvalues. Zbl 1069.34124
Kong, Q.; Wu, H.; Zettl, A.
2004
A class of nonlinear boundary value problems of second-order ordinary differential equations. Zbl 1084.34513
Kong, Lingju; Kong, Qingkai
2004
Indefinite Sturm-Liouville problems. Zbl 1056.34038
Kong, Q.; Wu, H.; Zettl, A.; Möller, M.
2003
Sturm-Liouville problems whose leading coefficient function changes sign. Zbl 1055.34051
Cao, Xifang; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
2003
Positive solutions of nonlinear $$m$$-point boundary value problems on a measure chain. Zbl 1037.34015
Kong, Lingju; Kong, Qingkai
2003
Even order nonlinear eigenvalue problems on a measure chain. Zbl 1024.34021
Kong, Lingju; Kong, Qingkai
2003
On some eigenvalue problems in fuel-cell dynamics. Zbl 1056.34091
Bailey, P. B.; Billingham, J.; Cooper, R. J.; Everitt, W. N.; King, A. C.; Kong, Q.; Wu, H.; Zettl, A.
2003
Positive solutions of boundary value problems for functional differential equations. Zbl 1036.34076
Kong, Lingju; Kong, Qingkai
2003
Positive solutions of boundary value problems for third-order functional difference equations. Zbl 1057.39014
Kong, Lingju; Kong, Qingkai; Zhang, Binggen
2002
Nonoscillation of a class of neutral differential equations. Zbl 1045.34042
Kong, Qingkai; Sun, Yijun; Zhang, Binggen
2002
Multiplicities of eigenvalues of a vector-valued Sturm-Liouville problem. Zbl 1052.34032
Kong, Qingkai
2002
Left-definite Sturm-Liouville problems. Zbl 1002.34016
Kong, Q.; Wu, H.; Zettl, A.
2001
Sturm-Liouville problems with finite spectrum. Zbl 1001.34019
Kong, Q.; Wu, H.; Zettl, A.
2001
Geometric aspects of Sturm-Liouville problems. I: Structures on spaces of boundary conditions. Zbl 0957.34024
Kong, Q.; Wu, H.; Zettl, A.
2000
Oscillation of second order matrix differential systems. Zbl 0993.34034
Kong, Qingkai
2000
A new proof of the inequalities among Sturm-Liouville eigenvalues. Zbl 0974.34024
Kong, Qingkai; Lin, Qun; Wu, Hongyou; Zettl, Anton
2000
Interval criteria for oscillation of second-order linear ordinary differential equations. Zbl 0924.34026
Kong, Qingkai
1999
Dependence of the $$n$$th Sturm-Liouville eigenvalue on the problem. Zbl 0932.34081
Kong, Qingkai; Wu, Hongyou; Zettl, Anton
1999
Inequalities among eigenvalues of Sturm-Liouville problems. Zbl 0927.34017
Eastham, M. S. P.; Kong, Q.; Wu, H.; Zettl, A.
1999
Inequalities among eigenvalues of singular Sturm-Liouville problems. Zbl 0942.34020
Kong, Q.; Wu, H.; Zettl, A.
1999
Oscillation criteria for second order half-linear differential equations. Zbl 0924.34025
Kong, Qingkai
1999
Dependence of eigenvalues on the problem. Zbl 0888.34017
Kong, Q.; Wu, H.; Zettl, A.
1997
Eigenvalues of regular Sturm-Liouville problems. Zbl 0862.34020
Kong, Q.; Zettl, A.
1996
Dependence of eigenvalues of Sturm-Liouville problems on the boundary. Zbl 0856.34027
Kong, Q.; Zettl, A.
1996
...and 22 more Documents
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#### Cited by 874 Authors

 48 Kong, Qingkai 40 Kong, Lingju 30 Graef, John R. 29 Meng, Fanwei 23 Wang, Qiru 23 Zettl, Anton 21 Diblík, Josef 19 Ao, Jijun 18 Agarwal, Ravi P. 18 Baculíková, Blanka 18 Sun, Yuangong 18 Tang, Xianhua 17 Džurina, Jozef 17 Luca, Rodica 17 Sun, Jiong 17 Wu, Hongyou 17 Xu, Zhiting 17 Yan, Jurang 16 Ge, Weigao 15 Berezansky, Leonid M. 15 Braverman, Elena 15 Henderson, Johnny Lee 14 Li, Tongxing 14 Li, Wan-Tong 14 Shi, Yuming 13 Zheng, Zhaowen 12 Ntouyas, Sotiris K. 11 Kang, Shin Min 11 Liu, Zeqing 11 Wang, Peiguang 11 Zhang, Binggen 11 Zhou, Xiaoliang 10 Ahmad, Bashir 10 Hassan, Taher S. 9 Chatzarakis, George E. 9 O’Regan, Donal 9 Yang, Qigui 9 Zhou, Yong 8 Benchohra, Mouffak 8 Liu, Lishan 8 Shen, Jianhua 8 Stavroulakis, Ioannis P. 8 Ugurlu, Ekin 8 Wang, Min 8 Wong, James S. W. 8 Zhang, Maozhu 7 Behrndt, Jussi 7 Candan, Tuncay 7 Erbe, Lynn Harry 7 Trunk, Carsten 7 Wang, Zhong 7 Wei, Guangsheng 7 Xu, Yuantong 7 Yu, Jian-She 6 Chen, Shaozhu 6 El-Morshedy, Hassan A. 6 Grace, Said Rezk 6 Kúdelčíková, Mária 6 Mathsen, Ronald M. 6 Ocalan, Ozkan 6 Olach, Rudolf 6 Qiu, Yangcong 6 Shi, Guoliang 6 Sun, Shurong 6 Wang, Wanyi 6 Wang, Wusheng 6 Wu, Yonghong 6 Yang, Bo 6 Zhang, Chenghui 6 Zhu, Hao 5 Al-saedi, Ahmed Eid Salem 5 Chanane, Bilal 5 Dhar, Sougata 5 Ferreira, José Manuel 5 Gholami, Yousef 5 Jiang, Daqing 5 Li, Kun 5 Liu, Haidong 5 Pašić, Mervan 5 Qi, Jiangang 5 Šmarda, Zdeněk 5 Sun, Jianping 5 Sun, Yongping 5 Svoboda, Zdeněk 5 Thandapani, Ethiraju 5 Ume, Jeong Sheok 5 Wu, Hongwu 5 Zafer, Ağacık 5 Zhai, Chengbo 5 Zhang, Meirong 5 Zhuang, Rong-Kun 4 Bachar, Imed 4 Bai, Dingyong 4 Çakmak, Devrim 4 Domoshnitsky, Alexander I. 4 Feng, Meiqiang 4 Gao, Chenghua 4 Guan, Kaizhong 4 Guo, Zhonghai 4 Han, Zhenlai ...and 774 more Authors
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#### Cited in 150 Serials

 106 Journal of Mathematical Analysis and Applications 99 Applied Mathematics and Computation 55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 Applied Mathematics Letters 51 Computers & Mathematics with Applications 37 Advances in Difference Equations 36 Abstract and Applied Analysis 29 Journal of Computational and Applied Mathematics 24 Rocky Mountain Journal of Mathematics 24 Journal of Differential Equations 24 Boundary Value Problems 20 Mathematical and Computer Modelling 15 Discrete Dynamics in Nature and Society 15 Journal of Applied Mathematics and Computing 14 Fractional Calculus & Applied Analysis 13 Mathematische Nachrichten 12 Proceedings of the American Mathematical Society 11 Results in Mathematics 10 Applied Mathematics. Series B (English Edition) 10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Linear Algebra and its Applications 8 Acta Mathematicae Applicatae Sinica. English Series 8 Journal of Difference Equations and Applications 8 Journal of Inequalities and Applications 8 Mediterranean Journal of Mathematics 8 Differential Equations and Applications 8 International Journal of Differential Equations 7 Applicable Analysis 7 Differential Equations and Dynamical Systems 6 Mathematica Slovaca 6 Opuscula Mathematica 6 Acta Mathematica Sinica. English Series 6 Journal of Applied Mathematics 6 Journal of Applied Analysis and Computation 5 Monatshefte für Mathematik 5 Nonlinear Analysis. Modelling and Control 5 Journal of Function Spaces 4 Mathematical Methods in the Applied Sciences 4 Czechoslovak Mathematical Journal 4 Russian Mathematics 4 Complex Analysis and Operator Theory 4 Journal of Nonlinear Science and Applications 3 Journal of the Franklin Institute 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Optimization Theory and Applications 3 Quaestiones Mathematicae 3 Acta Mathematica Hungarica 3 Journal of Mathematical Sciences (New York) 3 Operators and Matrices 3 Open Mathematics 2 Lithuanian Mathematical Journal 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Fuzzy Sets and Systems 2 Zeitschrift für Analysis und ihre Anwendungen 2 Physica D 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of the Egyptian Mathematical Society 2 Journal of Mathematical Chemistry 2 Mathematical Problems in Engineering 2 Functional Differential Equations 2 Chaos 2 The ANZIAM Journal 2 Nonlinear Analysis. Real World Applications 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Central European Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Nonlinear Oscillations 2 Journal of Fixed Point Theory and Applications 2 Journal of Mathematical Inequalities 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 S$$\vec{\text{e}}$$MA Journal 2 Fractional Differential Calculus 2 International Journal of Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Bulletin of the Australian Mathematical Society 1 International Journal of Engineering Science 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Automatica 1 Demonstratio Mathematica 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Journal of Approximation Theory 1 Kybernetika 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Operations Research 1 Transactions of the American Mathematical Society ...and 50 more Serials
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#### Cited in 34 Fields

 826 Ordinary differential equations (34-XX) 147 Operator theory (47-XX) 95 Difference and functional equations (39-XX) 67 Partial differential equations (35-XX) 30 Real functions (26-XX) 28 Numerical analysis (65-XX) 26 Integral equations (45-XX) 22 Dynamical systems and ergodic theory (37-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 14 Biology and other natural sciences (92-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Systems theory; control (93-XX) 5 Special functions (33-XX) 5 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Probability theory and stochastic processes (60-XX) 5 Operations research, mathematical programming (90-XX) 3 Approximations and expansions (41-XX) 3 Geometry (51-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)