Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays |
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Institution: | 1. College of Mathematics and Information Science, Jiaxing University, Jiaxing, Zhejiang 314001, PR China;2. College of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China;1. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China;2. Department of Information Technology, Hunan Women’s University, Changsha, Hunan 410004, PR China;1. Department of Mathematics, Hunan First Normal University, Changsha 410205, China;2. College of Mathematics and Econometrics, Hunan University, Changsha 410082, China;3. Hunan Women׳s University, Changsha 410003, China |
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Abstract: | In this paper, the shunting inhibitory cellular neural networks (SICNNs) with time-varying delays are considered. Sufficient conditions for the existence and local exponential stability of the almost periodic solutions are established by using fixed point theorem, Lyapunov functional method and differential inequality techniques. The results of this paper are new and they complement previously known results. |
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