# zbMATH — the first resource for mathematics

## Zhong, Chengkui

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 Author ID: zhong.chengkui Published as: Zhong, Chengkui; Zhong, Cheng-Kui; Zhong, Cheng Kui; Zhong, Cheng-kui External Links: MGP
 Documents Indexed: 153 Publications since 1990, including 1 Book
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#### Co-Authors

 8 single-authored 9 Sun, Chunyou 9 Yue, Gaocheng 9 Zhang, Jin 8 Li, Wan-Tong 8 Ma, Qiaozhen 8 Zhao, Peihao 7 Fan, Xianling 7 Yang, Meihua 7 You, Bo 6 Song, Haitao 6 Wang, Xuan 5 Ma, Shan 5 Wang, Yonghai 5 Zhu, Jiang 4 Li, Fang 4 Lu, Haishen 4 Wang, Suyun 4 Zhao, Chunxiang 3 Ma, Honglv 3 Meng, Fengjuan 3 Niu, Weisheng 3 Xie, Yongqin 3 Yan, Xingjie 3 Yang, Lu 3 Zhang, Yanhong 3 Zhong, Yansheng 2 Cheng, Xiyou 2 Duan, Yishi 2 Kloeden, Peter Eris 2 Li, Desheng 2 Li, Xiaojun 2 Ma, Yulan 2 Niu, Mingfei 2 O’Regan, Donal 2 Shi, Ke 2 Wang, Geping 2 Wang, Zhongping 2 Wu, Delin 2 Zhang, Chang 2 Zhang, Pengming 2 Zhao, Chunyan 1 Cao, Liming 1 Chen, Biyue 1 Chen, Guangxia 1 Chen, Jianwen 1 Chen, Wenyuan 1 Fan, Zhaohui 1 Feng, Huabing 1 Gong, Dongshan 1 He, Yongfu 1 Huang, Canyun 1 Jiao, Guimei 1 Jing, Bingyi 1 Ju, Wenchao 1 Li, Hongtao 1 Li, Xiaohu 1 Li, Yongjun 1 Li, Zehui 1 Lij, Xiulu 1 Liu, Cuncai 1 Liu, Ke 1 Liu, Xin 1 Liu, Yuewei 1 Lu, Songsong 1 Ma, Qingfeng 1 Ma, Ruyun 1 Song, Chao 1 Sun, Xiaotong 1 Wang, Aiyun 1 Wang, Cai-Xun 1 Wang, Chunmei 1 Wang, Fang 1 Wang, Shouhong 1 Wang, Xueping 1 Wang, Yejuan 1 Wang, Zongxing 1 Wen, Zijuan 1 Wu, Hongqing 1 Wu, Ying 1 Xiao, Yaolong 1 Yang, Rong 1 Zhang, Shuqin 1 Zhao, Dun 1 Zhao, Paihao 1 Zhao, Yongjie 1 Zheng, Bing 1 Zhou, Shengfan 1 Zhou, Wujie 1 Zhu, Tao
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#### Serials

 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Journal of Lanzhou University. Natural Sciences 18 Journal of Mathematical Analysis and Applications 9 Discrete and Continuous Dynamical Systems 9 Discrete and Continuous Dynamical Systems. Series B 6 Applied Mathematics Letters 5 Journal of Mathematical Physics 4 Applied Mathematics and Computation 3 Journal of Differential Equations 3 Chinese Annals of Mathematics. Series B 3 Nonlinear Analysis. Real World Applications 2 Acta Mathematica Sinica 2 Fuzzy Sets and Systems 2 Journal of Computational and Applied Mathematics 2 Chinese Annals of Mathematics. Series A 2 Electronic Journal of Differential Equations (EJDE) 2 Acta Mathematica Sinica. English Series 2 Dynamical Systems 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Houston Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Journal of Sichuan University. Natural Science Edition 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Differential Equations 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Mathematica Applicata 1 Dynamic Systems and Applications 1 Annals of Physics 1 Communications in Statistics. Theory and Methods 1 Topological Methods in Nonlinear Analysis 1 Pure and Applied Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Communications in Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Neliniĭni Kolyvannya 1 Journal of Mathematical Study 1 Communications in Contemporary Mathematics 1 International Journal of Differential Equations and Applications 1 Advanced Nonlinear Studies 1 Journal of Applied Mathematics and Computing 1 Séminaires et Congrès 1 Acta Mathematica Sinica. Chinese Series 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 107 Partial differential equations (35-XX) 38 Dynamical systems and ergodic theory (37-XX) 21 Ordinary differential equations (34-XX) 19 Operator theory (47-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Fluid mechanics (76-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Mechanics of deformable solids (74-XX) 4 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic topology (55-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

112 Publications have been cited 1,531 times in 830 Documents Cited by Year
The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations. Zbl 1101.35022
Zhong, Cheng-Kui; Yang, Mei-Hua; Sun, Chun-You
2006
Necessary and sufficient conditions for the existence of global attractors for semigroups and applications. Zbl 1028.37047
Ma, Qingfeng; Wang, Shouhong; Zhong, Chengkui
2002
Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094
Lu, Songsong; Wu, Hongqing; Zhong, Chengkui
2005
On the dynamics of a class of nonclassical parabolic equations. Zbl 1092.35016
Wang, Suyun; Li, Desheng; Zhong, Chengkui
2006
Pullback attractors for the norm-to-weak continuous process and application to the nonautonomous reaction-diffusion equations. Zbl 1126.37049
Li, Yongjun; Zhong, Chengkui
2007
Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains. Zbl 1082.35036
Sun, Chunyou; Zhong, Chengkui
2005
Global attractors for $$p$$-Laplacian equation. Zbl 1112.35031
Yang, Meihua; Sun, Chunyou; Zhong, Chengkui
2007
Global attractors for a nonclassical diffusion equation. Zbl 1128.35027
Sun, Chun You; Wang, Su Yun; Zhong, Cheng Kui
2007
Existence of positive solutions for a second-order ordinary differential system. Zbl 1088.34016
Cheng, Xiyou; Zhong, Chengkui
2005
Pullback attractors of nonautonomous dynamical systems. Zbl 1179.37105
Wang, Yejuan; Zhong, Chengkui; Zhou, Shengfan
2006
Multiple positive solutions for the one-dimensional singular $$p$$-Laplacian. Zbl 1048.34047
Lü, Haishen; O’Regan, Donal; Zhong, Chengkui
2002
Global attractors for the wave equation with nonlinear damping. Zbl 1101.35021
Sun, Chunyou; Yang, Meihua; Zhong, Chengkui
2006
Existence of strong solutions and global attractors for the suspension bridge equations. Zbl 1125.34019
Zhong, Chengkui; Ma, Qiaozhen; Sun, Chunyou
2007
On Ekeland’s variational principle and a minimax theorem. Zbl 0870.49015
Zhong, Cheng-Kui
1997
A generalization of Ekeland’s variational principle and application to the study of the relation between the weak P. S. condition and coercivity. Zbl 0912.49021
Zhong, Cheng-Kui
1997
Blow-up of solutions of a nonlinear viscoelastic wave equation. Zbl 1213.35143
Song, Haitao; Zhong, Chengkui
2010
On the existence of pullback attractors for non-autonomous reaction-diffusion equations. Zbl 1145.35047
Wang, Yonghai; Zhong, Chengkui
2008
Existence of strong solutions and global attractors for the coupled suspension bridge equations. Zbl 1176.35036
Ma, Qiaozhen; Zhong, Chengkui
2009
Global attractor for plate equation with nonlinear damping. Zbl 1152.35444
Yang, Lu; Zhong, Cheng-Kui
2008
Existence of global attractors for the coupled system of suspension bridge equations. Zbl 1080.35008
Ma, Qiaozhen; Zhong, Chengkui
2005
Existence of a global attractor for a $$p$$-Laplacian equation in $$\mathbb {R}^n$$. Zbl 1116.35029
Yang, Mei-Hua; Sun, Chun-You; Zhong, Cheng-Kui
2007
Attractors for autonomous and nonautonomous 3D Navier-Stokes-Voight equations. Zbl 1222.35043
Yue, Gaocheng; Zhong, Chengkui
2011
A note on singular nonlinear boundary value problems for the one-dimensional $$p$$-Laplacian. Zbl 0981.34013
Lü, Haishen; Zhong, Chengkui
2001
Attractors of non-autonomous reaction-diffusion equations in $$L^p$$. Zbl 1149.35328
Song, Haitao; Zhong, Chengkui
2008
An extension of multi-valued contraction mappings and fixed points. Zbl 0948.47058
Zhong, Cheng-Kui; Zhu, Jiang; Zhao, Pei-Hao
2000
Attractors for parabolic equations with dynamic boundary conditions. Zbl 1139.35027
Fan, Zhao-Hui; Zhong, Cheng-Kui
2008
On the $$Z_2$$ index of the global attractor for a class of $$p$$-Laplacian equations. Zbl 1205.35034
Zhong, Chengkui; Niu, Weisheng
2010
Attractors for partly dissipative lattice dynamic systems in $$l^2\times l^2$$. Zbl 1061.37060
Li, Xiaojun; Zhong, Chengkui
2005
Uniform attractors for non-autonomous $$p$$-Laplacian equations. Zbl 1162.35326
Chen, Guang-Xia; Zhong, Cheng-Kui
2008
Attractors of non-autonomous reaction-diffusion equations. Zbl 1170.35025
Song, Haitao; Ma, Shan; Zhong, Chengkui
2009
Pullback $$\mathcal D$$-attractors for nonautonomous sine-Gordon equations. Zbl 1156.37017
Wang, Yonghai; Zhong, Chengkui
2007
Existence of global attractors for the suspension bridge equation. Zbl 1111.35089
Ma, Qiaozhen; Zhong, Chengkui
2006
Attractors for the non-autonomous nonclassical diffusion equations with fading memory. Zbl 1176.35178
Wang, Xuan; Zhong, Chengkui
2009
Attractors for the nonclassical diffusion equations with fading memory. Zbl 1180.35127
Wang, Xuan; Yang, Lu; Zhong, Chengkui
2010
Attractors for wave equations with nonlinear damping on time-dependent space. Zbl 1343.35035
Meng, Fengjuan; Yang, Meihua; Zhong, Chengkui
2016
On unbounded positive solutions of second-order difference equations with a singular nonlinear term. Zbl 0962.39005
Li, Wantong; Fan, Xianling; Zhong, Chengkui
2000
Existence of strong global attractors for hyperbolic equation with linear memory. Zbl 1068.45018
Ma, Qiaozhen; Zhong, Chengkui
2004
The attractors for weakly damped non-autonomous hyperbolic equations with a new class of external forces. Zbl 1132.35018
Ma, Shan; Zhong, Chengkui
2007
The existence of global attractors for a class nonlinear evolution equation. Zbl 1132.35019
Xie, Yongqin; Zhong, Chengkui
2007
The existence of three nontrivial solutions of a class of elliptic systems. Zbl 1030.35047
Zhao, Peihao; Zhou, Wujie; Zhong, Chengkui
2002
Vector-valued variational principle in fuzzy metric space and its applications. Zbl 0987.49006
Zhu, Jiang; Zhong, Cheng-Kui; Wang, Ge-Ping
2001
On the infinitely many positive solutions of a supercritical elliptic problem. Zbl 0970.35040
Zhao, Peihao; Zhong, Chengkui
2001
Existence of positive solutions for integral equations with vanishing kernels. Zbl 1236.45004
Ma, Ruyun; Zhong, Chengkui
2011
Global attractors for $$p$$-Laplacian equations with dynamic flux boundary conditions. Zbl 1304.35130
You, Bo; Zhong, Chengkui
2013
An extension of Ekeland’s variational principle in fuzzy metric space and its applications. Zbl 0946.49017
Zhu, Jiang; Zhong, Cheng-kui; Wang, Ge-ping
1999
Exponential attractors for reaction-diffusion equations with arbitrary polynomial growth. Zbl 1170.35349
Zhong, Yansheng; Zhong, Chengkui
2009
Global attractors for plate equations with critical exponent in locally uniform spaces. Zbl 1172.35334
Yue, Gaocheng; Zhong, Chengkui
2009
Upper semicontinuity of pullback attractors for nonautonomous Kirchhoff wave models. Zbl 1317.37097
Wang, Yonghai; Zhong, Chengkui
2013
Global attractors for the $$p$$-Laplacian equations with nonregular data. Zbl 1247.35051
Niu, Weisheng; Zhong, Chengkui
2012
Existence of global attractors for a nonlinear wave equation. Zbl 1081.37050
Zhang, Yanhong; Zhong, Chengkui
2005
Asymptotic behavior of a class of nonlinear evolution equations. Zbl 1180.35114
Xie, Yongqin; Zhong, Chengkui
2009
Attractors for the Kirchhoff equations with strong nonlinear damping. Zbl 1377.35031
Ma, Honglv; Zhong, Chengkui
2017
$$L^p$$-uniform attractor for nonautonomous reaction-diffusion equations in unbounded domains. Zbl 1152.81638
Yan, Xingjie; Zhong, Chengkui
2008
Oscillation criteria for second-order half-linear ordinary differential equations with damping. Zbl 1057.34017
Li, Wan-Tong; Zhong, Cheng-Kui; Fan, Xian-Ling
2003
Long-time behavior for a class of degenerate parabolic equations. Zbl 1292.74015
Li, Hongtao; Ma, Shan; Zhong, Chengkui
2014
Pullback attractors for three dimensional non-autonomous planetary geostrophic viscous equations of large-scale ocean circulation. Zbl 1351.37078
You, Bo; Zhong, Chengkui; Li, Fang
2014
Asymptotic regularity for $$p$$-Laplacian equation. Zbl 1310.35139
Liu, Yuewei; Yang, Lu; Zhong, Chengkui
2010
The existence of multiple equilibrium points in a global attractor for some symmetric dynamical systems. Zbl 1297.35049
Zhong, Chengkui; You, Bo; Yang, Rong
2014
On the existence of global attractor for a class of infinite dimensional dissipative nonlinear dynamical systems. Zbl 1079.35026
Zhong, Chengkui; Sun, Chunyou; Niu, Mingfei
2005
Unbounded positive solutions to higher-order nonlinear functional-differential equations. Zbl 1016.34068
Li, Wan-Tong; Zhong, Cheng-Kui
2001
Uniform attractors of periodic and asymptotically periodic dynamical systems. Zbl 1082.37071
Zhong, Chengkui; Li, Desheng; Kloeden, P. E.
2005
Attractors in $$L^2(\mathbb{R}^N)$$ for a class of reaction-diffusion equations. Zbl 1221.35203
Zhang, Yanhong; Zhong, Chengkui; Wang, Suyun
2009
Attractors for nonautonomous 2D Navier-Stokes equations with less regular symbols. Zbl 1195.35062
Ma, Shan; Zhong, Chengkui; Song, Haitao
2009
Uniform attractors for impulsive reaction-diffusion equations. Zbl 1204.49036
Yan, Xingjie; Wu, Ying; Zhong, Chengkui
2010
Exponential attractors for semigroups in Banach spaces. Zbl 1262.35144
Zhong, Yansheng; Zhong, Chengkui
2012
Global attractors of strong solutions to nonclassical diffusion equations. Zbl 1090.35145
Ma, Qiaozhen; Zhong, Chengkui
2004
The attractors for the nonhomogeneous nonautonomous Navier–Stokes equations. Zbl 1111.35042
Wu, Delin; Zhong, Chengkui
2006
Attractors in $$L^p(\mathbb R^N)$$ and $$H^1(\mathbb R^N)$$ for a class of reaction-diffusion equations. Zbl 1191.35070
Zhang, Yanhong; Zhong, Chengkui; Wang, Suyun
2010
Existence of three nontrivial solutions for an elliptic system. Zbl 1159.35334
Cheng, Xiyou; Zhong, Chengkui
2007
Non-constant positive steady states for the HP food chain system with cross-diffusions. Zbl 1198.35125
Wen, Zijuan; Zhong, Chengkui
2010
Unbounded positive solutions to higher-order difference equations with singular nonlinear term. Zbl 0959.39005
Li, Wantong; Fan, Xianling; Zhong, Chengkui
2000
The existence of multiple equilibrium points in global attractors for some symmetric dynamical systems. II. Zbl 1364.35048
Zhang, Jin; Zhong, Chengkui; You, Bo
2017
The global attractor for a class of extensible beams with nonlocal weak damping. Zbl 1437.35104
Zhao, Chunxiang; Zhao, Chunyan; Zhong, Chengkui
2020
Finite-dimensional global attractor of the Cahn-Hilliard-Brinkman system. Zbl 1329.35072
Li, Fang; Zhong, Chengkui; You, Bo
2016
Integral averages and interval oscillation of second-order nonlinear differential equations. Zbl 1045.34011
Li, Wan-Tong; Zhong, Cheng-Kui
2002
Positive solutions of odd-order neutral nonlinear difference equations. Zbl 0983.39008
Li, Wan-Tong; Fan, Xian-Ling; Zhong, Cheng-Kui
2000
Blow up of the nonclassical diffusion equation. Zbl 1214.35032
Song, Haitao; Zhong, Chengkui
2009
Transverse force on a moving vortex with the acoustic geometry. Zbl 1138.82336
Zhang, Peng-Ming; Cao, Li-Ming; Duan, Yi-Shi; Zhong, Cheng-Kui
2004
The existence of multiple equilibrium points in a global attractor for some $$p$$-Laplacian equation. Zbl 1310.35205
You, Bo; Li, Fang; Zhong, Chengkui
2014
On the global well-posedness to the 3-D Navier-Stokes-Maxwell system. Zbl 1365.35112
Yue, Gaocheng; Zhong, Chengkui
2016
Long-time behavior of solutions to nonlinear reaction diffusion equations involving $$L^{1}$$ data. Zbl 1242.35059
Zhong, Chengkui; Niu, Weisheng
2012
Long-time behavior for a class of extensible beams with nonlocal weak damping and critical nonlinearity. Zbl 1435.35259
Zhao, Chunxiang; Ma, Shan; Zhong, Chengkui
2020
A note on the global attractor for weakly damped wave equation. Zbl 1315.35040
Liu, Cuncai; Meng, Fengjuan; Zhong, Chengkui
2015
Global attractors for the Gray-Scott equations in locally uniform spaces. Zbl 1326.37048
Zhong, Chengkui; Yue, Gaocheng
2016
Positive solutions of elliptic equations involving both supercritical and sublinear growth. Zbl 1030.35069
Zhao, Peihao; Zhong, Chengkui
2002
Robustness of exponentially $$\kappa$$-dissipative dynamical systems with perturbations. Zbl 1381.37095
Zhang, Jin; Wang, Yonghai; Zhong, Chengkui
2017
Dynamics of non-autonomous reaction-diffusion equations in locally uniform spaces. Zbl 1370.35180
Yue, Gaocheng; Zhong, Chengkui
2015
Global existence and asymptotic behavior of global smooth solutions to the Kirchhoff equations with strong nonlinear damping. Zbl 1437.35102
Ma, Honglv; Zhang, Jin; Zhong, Chengkui
2019
The Borsuk-Ulam theorem on product space. Zbl 1427.55003
Zhong, Cheng Kui
1992
Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent. Zbl 1288.35101
Meng, Fengjuan; Zhong, Chengkui
2014
Global exponential $$\kappa$$-dissipative semigroups and exponential attraction. Zbl 1367.47062
Zhang, Jin; Kloeden, Peter E.; Yang, Meihua; Zhong, Chengkui
2017
Multiple equilibrium points in global attractors for some $$p$$-Laplacian equations. Zbl 1394.35361
Li, Fang; You, Bo; Zhong, Chengkui
2018
Knot-like Mermin-Ho vortices in the superfluid $$^3$$He-A. Zbl 1069.82013
Zhang, Peng-ming; Duan, Yi-shi; Liu, Xin; Zhong, Cheng-kui
2004
Estimates on the dimension of an attractor for a nonclassical hyperbolic equation. Zbl 1112.35030
Wu, Delin; Zhong, Chengkui
2006
The existence and uniqueness of the solutions for partly dissipative reaction diffusion systems in $$\mathbb R^n$$. Zbl 1156.35013
Yang, Meihua; Zhong, Chengkui
2006
Boundary behavior of solutions for the degenerate logistic type elliptic problem with boundary blow-up. Zbl 1200.35132
Feng, Huabing; Zhong, Chengkui
2010
Dynamic bifurcation for the generalized Burgers equations. Zbl 1212.35435
Wang, Zhongping; Zhong, Chengkui
2009
Positive solutions of discrete Emden-Fowler equation with singular nonlinear term. Zbl 0961.39003
Li, Wan-Tong; Fan, Xian-Ling; Zhong, Cheng-Kui
2000
On a unique solution for the two-point boundary value problem. Zbl 0956.34018
Zhang, Shuqin; Zhong, Chengkui
2000
Positive solutions for a nonhonogeneous semilinear elliptic problem with supercritical exponent. Zbl 0985.35030
Zhao, Paihao; Zhong, Chengkui; Zhu, Jiang
2001
The global attractor for a class of extensible beams with nonlocal weak damping. Zbl 1437.35104
Zhao, Chunxiang; Zhao, Chunyan; Zhong, Chengkui
2020
Long-time behavior for a class of extensible beams with nonlocal weak damping and critical nonlinearity. Zbl 1435.35259
Zhao, Chunxiang; Ma, Shan; Zhong, Chengkui
2020
Attractors for the degenerate Kirchhoff wave model with strong damping: existence and the fractal dimension. Zbl 1432.35029
Ma, Honglv; Zhang, Jin; Zhong, Chengkui
2020
Asymptotic behaviour of the wave equation with nonlocal weak damping and anti-damping. Zbl 1441.35066
Zhao, Chunyan; Zhao, Chunxiang; Zhong, Chengkui
2020
Global existence and asymptotic behavior of global smooth solutions to the Kirchhoff equations with strong nonlinear damping. Zbl 1437.35102
Ma, Honglv; Zhang, Jin; Zhong, Chengkui
2019
Multiple equilibrium points in global attractors for some $$p$$-Laplacian equations. Zbl 1394.35361
Li, Fang; You, Bo; Zhong, Chengkui
2018
Attractors for the Kirchhoff equations with strong nonlinear damping. Zbl 1377.35031
Ma, Honglv; Zhong, Chengkui
2017
The existence of multiple equilibrium points in global attractors for some symmetric dynamical systems. II. Zbl 1364.35048
Zhang, Jin; Zhong, Chengkui; You, Bo
2017
Robustness of exponentially $$\kappa$$-dissipative dynamical systems with perturbations. Zbl 1381.37095
Zhang, Jin; Wang, Yonghai; Zhong, Chengkui
2017
Global exponential $$\kappa$$-dissipative semigroups and exponential attraction. Zbl 1367.47062
Zhang, Jin; Kloeden, Peter E.; Yang, Meihua; Zhong, Chengkui
2017
Attractors for wave equations with nonlinear damping on time-dependent space. Zbl 1343.35035
Meng, Fengjuan; Yang, Meihua; Zhong, Chengkui
2016
Finite-dimensional global attractor of the Cahn-Hilliard-Brinkman system. Zbl 1329.35072
Li, Fang; Zhong, Chengkui; You, Bo
2016
On the global well-posedness to the 3-D Navier-Stokes-Maxwell system. Zbl 1365.35112
Yue, Gaocheng; Zhong, Chengkui
2016
Global attractors for the Gray-Scott equations in locally uniform spaces. Zbl 1326.37048
Zhong, Chengkui; Yue, Gaocheng
2016
Existence of weak solutions for fractional porous medium equations with nonlinear term. Zbl 1386.35462
Zhang, Chang; Zhang, Jin; Zhong, Chengkui
2016
A note on the global attractor for weakly damped wave equation. Zbl 1315.35040
Liu, Cuncai; Meng, Fengjuan; Zhong, Chengkui
2015
Dynamics of non-autonomous reaction-diffusion equations in locally uniform spaces. Zbl 1370.35180
Yue, Gaocheng; Zhong, Chengkui
2015
Long-term analysis of degenerate parabolic equations in $$\mathbb R^N$$. Zbl 1317.35133
Yue, Gao Cheng; Zhong, Cheng Kui
2015
Long-time behavior for a class of degenerate parabolic equations. Zbl 1292.74015
Li, Hongtao; Ma, Shan; Zhong, Chengkui
2014
Pullback attractors for three dimensional non-autonomous planetary geostrophic viscous equations of large-scale ocean circulation. Zbl 1351.37078
You, Bo; Zhong, Chengkui; Li, Fang
2014
The existence of multiple equilibrium points in a global attractor for some symmetric dynamical systems. Zbl 1297.35049
Zhong, Chengkui; You, Bo; Yang, Rong
2014
The existence of multiple equilibrium points in a global attractor for some $$p$$-Laplacian equation. Zbl 1310.35205
You, Bo; Li, Fang; Zhong, Chengkui
2014
Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent. Zbl 1288.35101
Meng, Fengjuan; Zhong, Chengkui
2014
Global attractors for $$p$$-Laplacian equations with dynamic flux boundary conditions. Zbl 1304.35130
You, Bo; Zhong, Chengkui
2013
Upper semicontinuity of pullback attractors for nonautonomous Kirchhoff wave models. Zbl 1317.37097
Wang, Yonghai; Zhong, Chengkui
2013
Strong attractors for the non-autonomous nonclassical diffusion equations with fading memory. Zbl 1313.35260
Wang, Xuan; Ju, Wenchao; Zhong, Chengkui
2013
Global attractors for the $$p$$-Laplacian equations with nonregular data. Zbl 1247.35051
Niu, Weisheng; Zhong, Chengkui
2012
Exponential attractors for semigroups in Banach spaces. Zbl 1262.35144
Zhong, Yansheng; Zhong, Chengkui
2012
Long-time behavior of solutions to nonlinear reaction diffusion equations involving $$L^{1}$$ data. Zbl 1242.35059
Zhong, Chengkui; Niu, Weisheng
2012
Attractors for autonomous and nonautonomous 3D Navier-Stokes-Voight equations. Zbl 1222.35043
Yue, Gaocheng; Zhong, Chengkui
2011
Existence of positive solutions for integral equations with vanishing kernels. Zbl 1236.45004
Ma, Ruyun; Zhong, Chengkui
2011
Blow-up of solutions of a nonlinear viscoelastic wave equation. Zbl 1213.35143
Song, Haitao; Zhong, Chengkui
2010
On the $$Z_2$$ index of the global attractor for a class of $$p$$-Laplacian equations. Zbl 1205.35034
Zhong, Chengkui; Niu, Weisheng
2010
Attractors for the nonclassical diffusion equations with fading memory. Zbl 1180.35127
Wang, Xuan; Yang, Lu; Zhong, Chengkui
2010
Asymptotic regularity for $$p$$-Laplacian equation. Zbl 1310.35139
Liu, Yuewei; Yang, Lu; Zhong, Chengkui
2010
Uniform attractors for impulsive reaction-diffusion equations. Zbl 1204.49036
Yan, Xingjie; Wu, Ying; Zhong, Chengkui
2010
Attractors in $$L^p(\mathbb R^N)$$ and $$H^1(\mathbb R^N)$$ for a class of reaction-diffusion equations. Zbl 1191.35070
Zhang, Yanhong; Zhong, Chengkui; Wang, Suyun
2010
Non-constant positive steady states for the HP food chain system with cross-diffusions. Zbl 1198.35125
Wen, Zijuan; Zhong, Chengkui
2010
Boundary behavior of solutions for the degenerate logistic type elliptic problem with boundary blow-up. Zbl 1200.35132
Feng, Huabing; Zhong, Chengkui
2010
On the convergence of the uniform attractor of 2D NS-$$\alpha$$ model to the uniform attractor of 2D NS system. Zbl 1187.35016
Yue, Gaocheng; Zhong, Chengkui
2010
Existence of strong solutions and global attractors for the coupled suspension bridge equations. Zbl 1176.35036
Ma, Qiaozhen; Zhong, Chengkui
2009
Attractors of non-autonomous reaction-diffusion equations. Zbl 1170.35025
Song, Haitao; Ma, Shan; Zhong, Chengkui
2009
Attractors for the non-autonomous nonclassical diffusion equations with fading memory. Zbl 1176.35178
Wang, Xuan; Zhong, Chengkui
2009
Exponential attractors for reaction-diffusion equations with arbitrary polynomial growth. Zbl 1170.35349
Zhong, Yansheng; Zhong, Chengkui
2009
Global attractors for plate equations with critical exponent in locally uniform spaces. Zbl 1172.35334
Yue, Gaocheng; Zhong, Chengkui
2009
Asymptotic behavior of a class of nonlinear evolution equations. Zbl 1180.35114
Xie, Yongqin; Zhong, Chengkui
2009
Attractors in $$L^2(\mathbb{R}^N)$$ for a class of reaction-diffusion equations. Zbl 1221.35203
Zhang, Yanhong; Zhong, Chengkui; Wang, Suyun
2009
Attractors for nonautonomous 2D Navier-Stokes equations with less regular symbols. Zbl 1195.35062
Ma, Shan; Zhong, Chengkui; Song, Haitao
2009
Blow up of the nonclassical diffusion equation. Zbl 1214.35032
Song, Haitao; Zhong, Chengkui
2009
Dynamic bifurcation for the generalized Burgers equations. Zbl 1212.35435
Wang, Zhongping; Zhong, Chengkui
2009
Attractors for nonautonomous two-dimensional space periodic Navier-Stokes equations. Zbl 1283.35009
Gong, Dongshan; Song, Haitao; Zhong, Chengkui
2009
On the existence of pullback attractors for non-autonomous reaction-diffusion equations. Zbl 1145.35047
Wang, Yonghai; Zhong, Chengkui
2008
Global attractor for plate equation with nonlinear damping. Zbl 1152.35444
Yang, Lu; Zhong, Cheng-Kui
2008
Attractors of non-autonomous reaction-diffusion equations in $$L^p$$. Zbl 1149.35328
Song, Haitao; Zhong, Chengkui
2008
Attractors for parabolic equations with dynamic boundary conditions. Zbl 1139.35027
Fan, Zhao-Hui; Zhong, Cheng-Kui
2008
Uniform attractors for non-autonomous $$p$$-Laplacian equations. Zbl 1162.35326
Chen, Guang-Xia; Zhong, Cheng-Kui
2008
$$L^p$$-uniform attractor for nonautonomous reaction-diffusion equations in unbounded domains. Zbl 1152.81638
Yan, Xingjie; Zhong, Chengkui
2008
Palais-Smale condition and global attractor for gradient system. Zbl 1187.34077
Zhong, Yansheng; Zhong, Chengkui
2008
Pullback attractors for the norm-to-weak continuous process and application to the nonautonomous reaction-diffusion equations. Zbl 1126.37049
Li, Yongjun; Zhong, Chengkui
2007
Global attractors for $$p$$-Laplacian equation. Zbl 1112.35031
Yang, Meihua; Sun, Chunyou; Zhong, Chengkui
2007
Global attractors for a nonclassical diffusion equation. Zbl 1128.35027
Sun, Chun You; Wang, Su Yun; Zhong, Cheng Kui
2007
Existence of strong solutions and global attractors for the suspension bridge equations. Zbl 1125.34019
Zhong, Chengkui; Ma, Qiaozhen; Sun, Chunyou
2007
Existence of a global attractor for a $$p$$-Laplacian equation in $$\mathbb {R}^n$$. Zbl 1116.35029
Yang, Mei-Hua; Sun, Chun-You; Zhong, Cheng-Kui
2007
Pullback $$\mathcal D$$-attractors for nonautonomous sine-Gordon equations. Zbl 1156.37017
Wang, Yonghai; Zhong, Chengkui
2007
The attractors for weakly damped non-autonomous hyperbolic equations with a new class of external forces. Zbl 1132.35018
Ma, Shan; Zhong, Chengkui
2007
The existence of global attractors for a class nonlinear evolution equation. Zbl 1132.35019
Xie, Yongqin; Zhong, Chengkui
2007
Existence of three nontrivial solutions for an elliptic system. Zbl 1159.35334
Cheng, Xiyou; Zhong, Chengkui
2007
Existence of strong global attractors for the nonlinear beam equations. Zbl 1150.35340
Ma, Qiaozhen; Sun, Chunyou; Zhong, Chengkui
2007
The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations. Zbl 1101.35022
Zhong, Cheng-Kui; Yang, Mei-Hua; Sun, Chun-You
2006
On the dynamics of a class of nonclassical parabolic equations. Zbl 1092.35016
Wang, Suyun; Li, Desheng; Zhong, Chengkui
2006
Pullback attractors of nonautonomous dynamical systems. Zbl 1179.37105
Wang, Yejuan; Zhong, Chengkui; Zhou, Shengfan
2006
Global attractors for the wave equation with nonlinear damping. Zbl 1101.35021
Sun, Chunyou; Yang, Meihua; Zhong, Chengkui
2006
Existence of global attractors for the suspension bridge equation. Zbl 1111.35089
Ma, Qiaozhen; Zhong, Chengkui
2006
The attractors for the nonhomogeneous nonautonomous Navier–Stokes equations. Zbl 1111.35042
Wu, Delin; Zhong, Chengkui
2006
Estimates on the dimension of an attractor for a nonclassical hyperbolic equation. Zbl 1112.35030
Wu, Delin; Zhong, Chengkui
2006
The existence and uniqueness of the solutions for partly dissipative reaction diffusion systems in $$\mathbb R^n$$. Zbl 1156.35013
Yang, Meihua; Zhong, Chengkui
2006
Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094
Lu, Songsong; Wu, Hongqing; Zhong, Chengkui
2005
Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains. Zbl 1082.35036
Sun, Chunyou; Zhong, Chengkui
2005
Existence of positive solutions for a second-order ordinary differential system. Zbl 1088.34016
Cheng, Xiyou; Zhong, Chengkui
2005
Existence of global attractors for the coupled system of suspension bridge equations. Zbl 1080.35008
Ma, Qiaozhen; Zhong, Chengkui
2005
Attractors for partly dissipative lattice dynamic systems in $$l^2\times l^2$$. Zbl 1061.37060
Li, Xiaojun; Zhong, Chengkui
2005
Existence of global attractors for a nonlinear wave equation. Zbl 1081.37050
Zhang, Yanhong; Zhong, Chengkui
2005
On the existence of global attractor for a class of infinite dimensional dissipative nonlinear dynamical systems. Zbl 1079.35026
Zhong, Chengkui; Sun, Chunyou; Niu, Mingfei
2005
Uniform attractors of periodic and asymptotically periodic dynamical systems. Zbl 1082.37071
Zhong, Chengkui; Li, Desheng; Kloeden, P. E.
2005
Existence of strong global attractors for hyperbolic equation with linear memory. Zbl 1068.45018
Ma, Qiaozhen; Zhong, Chengkui
2004
Global attractors of strong solutions to nonclassical diffusion equations. Zbl 1090.35145
Ma, Qiaozhen; Zhong, Chengkui
2004
Transverse force on a moving vortex with the acoustic geometry. Zbl 1138.82336
Zhang, Peng-Ming; Cao, Li-Ming; Duan, Yi-Shi; Zhong, Cheng-Kui
2004
Knot-like Mermin-Ho vortices in the superfluid $$^3$$He-A. Zbl 1069.82013
Zhang, Peng-ming; Duan, Yi-shi; Liu, Xin; Zhong, Cheng-kui
2004
Oscillation criteria for second-order half-linear ordinary differential equations with damping. Zbl 1057.34017
Li, Wan-Tong; Zhong, Cheng-Kui; Fan, Xian-Ling
2003
On the existence of global attractor for a class of infinite dimensional dissipative nonlinear dynamic systems. Zbl 1029.37052
Zhong, Chengkui; Niu, Mingfei
2003
Necessary and sufficient conditions for the existence of global attractors for semigroups and applications. Zbl 1028.37047
Ma, Qingfeng; Wang, Shouhong; Zhong, Chengkui
2002
Multiple positive solutions for the one-dimensional singular $$p$$-Laplacian. Zbl 1048.34047
Lü, Haishen; O&rsquo;Regan, Donal; Zhong, Chengkui
2002
The existence of three nontrivial solutions of a class of elliptic systems. Zbl 1030.35047
Zhao, Peihao; Zhou, Wujie; Zhong, Chengkui
2002
Integral averages and interval oscillation of second-order nonlinear differential equations. Zbl 1045.34011
Li, Wan-Tong; Zhong, Cheng-Kui
2002
Positive solutions of elliptic equations involving both supercritical and sublinear growth. Zbl 1030.35069
Zhao, Peihao; Zhong, Chengkui
2002
A note on singular nonlinear boundary value problems for the one-dimensional $$p$$-Laplacian. Zbl 0981.34013
Lü, Haishen; Zhong, Chengkui
2001
Vector-valued variational principle in fuzzy metric space and its applications. Zbl 0987.49006
Zhu, Jiang; Zhong, Cheng-Kui; Wang, Ge-Ping
2001
On the infinitely many positive solutions of a supercritical elliptic problem. Zbl 0970.35040
Zhao, Peihao; Zhong, Chengkui
2001
Unbounded positive solutions to higher-order nonlinear functional-differential equations. Zbl 1016.34068
Li, Wan-Tong; Zhong, Cheng-Kui
2001
Positive solutions for a nonhonogeneous semilinear elliptic problem with supercritical exponent. Zbl 0985.35030
Zhao, Paihao; Zhong, Chengkui; Zhu, Jiang
2001
...and 12 more Documents
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#### Cited by 743 Authors

 62 Zhong, Chengkui 29 Ma, Qiaozhen 23 Sun, Chunyou 22 You, Bo 20 Cung The Anh 18 Li, Yangrong 16 Li, Fang 16 Zhou, Shengfan 13 Kloeden, Peter Eris 13 Li, Wan-Tong 13 Wang, Bixiang 13 Xie, Yongqin 13 Yang, Lu 13 Zhao, Wenqiang 12 Kang, Jum-Ran 12 Tachim Medjo, Theodore 11 Ge, Weigao 11 Wang, Yejuan 11 Yang, Meihua 11 Zhao, Caidi 10 Cheng, Xiyou 10 Cui, Hongyong 10 Ma, Shan 10 Meng, Fengjuan 10 Wang, Yonghai 10 Yang, Xinguang 10 Zhang, Fanghong 10 Zhu, Kaixuan 9 Li, Desheng 9 Li, Yongjun 9 Marín-Rubio, Pedro 9 Song, Haitao 9 Yang, Zhijian 8 Caraballo Garrido, Tomás 8 Goodrich, Christopher S. 8 Li, Xiaojun 8 Papageorgiou, Nikolaos S. 8 Park, Jong Yeoul 8 Suzuki, Tomonari 8 Tang, Yanbin 8 Wang, Ming 8 Yue, Gaocheng 7 Anguiano, María 7 Giorgi, Claudio 7 Niu, Weisheng 7 Qin, Yuming 7 Shang, Yadong 7 Wang, Suyun 7 Wang, Xuan 7 Wu, Delin 6 Agarwal, Ravi P. 6 Bochicchio, Ivana 6 Langa, Jose’ Antonio 6 Li, Hongtao 6 Li, Yanan 6 Liang, Fei 6 Liu, Lishan 6 Liu, Tingting 6 Real Anguas, José 6 Toan, Nguyen Duong 6 Toi, Vu Manh 6 Włodarczyk, Kazimierz 6 Wu, Hongqing 6 Xu, Ling 6 Yan, Xingjie 6 Yin, Jinyan 6 Zhao, Chunxiang 6 Zhao, Tinggang 6 Zhong, Yansheng 5 Gu, Anhui 5 Hou, Yanren 5 Infante, Gennaro 5 Khanmamedov, Azer Kh. 5 Liu, Cuncai 5 Lu, Haishen 5 Łukaszewicz, Grzegorz 5 Nguyet, Tran Minh 5 Park, SunHye 5 Song, Lingyu 5 Turinici, Mihai 5 Vuk, Elena 5 Wu, Yonghong 5 Zhang, Jin 5 Zhang, Yanhong 5 Zhang, Yindi 5 Zhou, Feng 4 Abdallah, Ahmed Y. 4 Bai, Lihong 4 Conti, Monica C. 4 Dehghan Takht Fooladi, Mehdi 4 Di, Huafei 4 Feng, Baowei 4 Feng, Hanying 4 Fu, Xianlong 4 Guo, Yantao 4 Huang, Jianhua 4 Jiang, Jinping 4 Li, Xin 4 Liu, Linfang 4 Liu, Yongfeng ...and 643 more Authors
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#### Cited in 157 Serials

 97 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 72 Journal of Mathematical Analysis and Applications 44 Discrete and Continuous Dynamical Systems. Series B 37 Applied Mathematics and Computation 37 Journal of Differential Equations 33 Boundary Value Problems 25 Abstract and Applied Analysis 23 Journal of Mathematical Physics 21 Computers & Mathematics with Applications 21 Nonlinear Analysis. Real World Applications 17 Applicable Analysis 15 Applied Mathematics Letters 15 Communications on Pure and Applied Analysis 14 Mathematical Methods in the Applied Sciences 14 Discrete and Continuous Dynamical Systems 9 Applied Mathematics and Optimization 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Fixed Point Theory and Applications 9 Advances in Difference Equations 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Acta Mathematica Sinica. English Series 8 Dynamical Systems 7 Fuzzy Sets and Systems 7 Mathematical Problems in Engineering 6 Acta Mathematica Vietnamica 6 Topological Methods in Nonlinear Analysis 6 Discrete Dynamics in Nature and Society 5 Journal of Computational and Applied Mathematics 5 Applied Mathematics and Mechanics. (English Edition) 5 Journal of Applied Mathematics 5 ISRN Applied Mathematics 5 Journal of Applied Analysis and Computation 5 Journal of Function Spaces 4 Rocky Mountain Journal of Mathematics 4 Journal of Optimization Theory and Applications 4 Mathematische Nachrichten 4 Proceedings of the American Mathematical Society 4 Quarterly of Applied Mathematics 4 Acta Applicandae Mathematicae 4 Mathematical and Computer Modelling 4 Journal of Dynamics and Differential Equations 4 Journal of Difference Equations and Applications 4 Taiwanese Journal of Mathematics 4 Journal of Inequalities and Applications 4 Science China. Mathematics 3 Reviews in Mathematical Physics 3 Annales Polonici Mathematici 3 International Journal of Mathematics and Mathematical Sciences 3 Transactions of the American Mathematical Society 3 Optimization 3 Asymptotic Analysis 3 Bulletin des Sciences Mathématiques 3 Vietnam Journal of Mathematics 3 Journal of Mathematical Fluid Mechanics 3 Communications of the Korean Mathematical Society 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Dynamical and Control Systems 3 Communications in Contemporary Mathematics 3 Journal of Fixed Point Theory and Applications 3 Journal of Nonlinear Science and Applications 3 Advances in Mathematical Physics 3 Open Mathematics 3 Korean Journal of Mathematics 2 International Journal of Theoretical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Glasgow Mathematical Journal 2 Meccanica 2 Numerical Functional Analysis and Optimization 2 Chinese Annals of Mathematics. Series B 2 Stochastic Analysis and Applications 2 Journal of Global Optimization 2 Applied Mathematics. Series B (English Edition) 2 Electronic Journal of Differential Equations (EJDE) 2 Qualitative Theory of Dynamical Systems 2 Nonlinear Analysis. Modelling and Control 2 Mathematical Modelling and Analysis 2 Journal of Evolution Equations 2 Stochastics and Dynamics 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Complex Variables and Elliptic Equations 2 International Journal of Differential Equations 2 ISRN Mathematical Analysis 2 Evolution Equations and Control Theory 2 Electronic Research Archive 1 Modern Physics Letters A 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 International Journal of General Systems 1 Journal of the Franklin Institute 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Information Sciences 1 Journal of the Korean Mathematical Society 1 Kodai Mathematical Journal 1 Mathematics and Computers in Simulation ...and 57 more Serials
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#### Cited in 39 Fields

 595 Partial differential equations (35-XX) 224 Dynamical systems and ergodic theory (37-XX) 118 Ordinary differential equations (34-XX) 81 Operator theory (47-XX) 67 Fluid mechanics (76-XX) 53 Mechanics of deformable solids (74-XX) 52 Probability theory and stochastic processes (60-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 36 General topology (54-XX) 23 Difference and functional equations (39-XX) 22 Integral equations (45-XX) 22 Global analysis, analysis on manifolds (58-XX) 22 Numerical analysis (65-XX) 16 Biology and other natural sciences (92-XX) 12 Real functions (26-XX) 11 Geophysics (86-XX) 10 Systems theory; control (93-XX) 8 Functional analysis (46-XX) 7 Operations research, mathematical programming (90-XX) 6 Measure and integration (28-XX) 6 Quantum theory (81-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)