具有分布时滞的细胞神经网络的概周期解  

Almost Periodic Solutions for Cellular Neural Networks with Distributed Delays

作　　者：张若军[1] 王林山[1] 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《数学物理学报（A辑）》2011年第2期422-429,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(10771199)资助

摘　　要：该文对具有分布时滞的细胞神经网络的慨周期解进行了讨论,去掉了神经元输出函数全局Lipschitz条件的限制,利用不动点定理与微分不等式技巧,得到了此类神经网络概周期解的存在性,唯一性与指数稳定性的充分条件.In this paper,cellular neural networks with distributed delays are considered.Without assuming the global Lipschitz conditions of neuron signal functions,sufficient conditions for the existence,uniqueness and exponential stability of the almost periodic solutions are established by using the fixed point theorem and differential inequality technique.The authors extend and improve previously known results.Moreover,an example is also worked out to illustrate the advantages of the results.

关 键 词：细胞神经网络 分布时滞 概周期解 指数稳定性 不动点定理 

分 类 号：O175.13[理学—数学] O193[理学—基础数学]