{"title":"Exponential Stability of Periodic Solutions in Inertial Neural Networks with Unbounded Delay","authors":"Yunquan Ke, Chunfang Miao","volume":75,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":477,"pagesEnd":487,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/16992","abstract":"
In this paper, the exponential stability of periodic solutions in inertial neural networks with unbounded delay are investigated. First, using variable substitution the system is transformed to first order differential equation. Second, by the fixed-point theorem and constructing suitable Lyapunov function, some sufficient conditions guaranteeing the existence and exponential stability of periodic solutions of the system are obtained. Finally, two examples are given to illustrate the effectiveness of the results.<\/p>\r\n","references":"
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