Anti-periodic solutions for Cohen-Grossberg shunting inhibitory neural networks with delays

被引：0

作者：

Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China ^{[1
]}

机构：

来源：

World Acad. Sci. Eng. Technol. | 2009年 / 878-883期

关键词：

Anti-periodic solutions - Coincidence degree - Coincidence degree theory - Global exponential stability - Lyapunov functionals - Shunting inhibitory cellular neural networks;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By using the method of coincidence degree theory and constructing suitable Lyapunov functional, several sufficient conditions are established for the existence and global exponential stability of anti-periodic solutions for Cohen-Grossberg shunting inhibitory neural networks with delays. An example is given to illustrate our feasible results.

引用

共 50 条

[41] Global exponential stability of anti-periodic solutions for discontinuous Cohen–Grossberg neural networks with time-varying delays
Xu, Chengfeng
Kong, Fanchao
Journal of Experimental and Theoretical Artificial Intelligence, 2021, 33 (02): : 263 - 281
[42] Periodic solutions for a class of higher-order Cohen-Grossberg type neural networks with delays
Ren, Fengli
Cao, Jinde
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (06) : 826 - 839
[43] Existence and Exponential Stability of Anti-periodic Solutions for a High-Order Delayed Cohen-Grossberg Neural Networks with Impulsive Effects
Xu, Changjin
Zhang, Qiming
NEURAL PROCESSING LETTERS, 2014, 40 (03) : 227 - 243
[44] EXISTENCE AND ATTRACTIVITY OF PERIODIC SOLUTIONS TO COHEN-GROSSBERG NEURAL NETWORK WITH DISTRIBUTED DELAYS
Li, Yongkun
Zhu, Lifei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[45] Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays in leakage terms
Peng, Lequn
Wang, Wentao
NEUROCOMPUTING, 2013, 111 : 27 - 33
[46] EXISTENCE AND EXPONENTIAL STABILITY FOR ANTI-PERIODIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS
Wu, Yuanheng
Zhou, Zhan
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[47] Periodic solution to Cohen-Grossberg BAM neural networks with delays on time scales
Zhang, Zhengqiu
Peng, Guoqiang
Zhou, Dongming
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (10): : 2759 - 2781
[48] Existence and stability of anti-periodic solutions for an impulsive cohen-grossberg SICNNs on time scales
Hu, Meng
Wang, Lili
World Academy of Science, Engineering and Technology, 2010, 37 : 521 - 527
[49] Almost periodic solution of Cohen-Grossberg neural networks with bounded and unbounded delays
Xiang, Hongjun
Cao, Jinde
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (04) : 2407 - 2419
[50] Periodic bi-directional Cohen-Grossberg neural networks with distributed delays
Chen, Anping
Cao, Jinde
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (12) : 2947 - 2961

← 1 2 3 4 5 →