具有分布时滞的分流抑制细胞神经网络的概周期解  

Almost Periodic Solutions of Shunting Inhibitory Cellular Neural Networks with Distributed Delays

作　　者：李冠军[1] 曹进德[1] 

机构地区：[1]东南大学数学系

出　　处：《工程数学学报》2007年第5期849-856,共8页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(60373067);江苏省自然科学基金(BK2003053);安徽省教育厅自然科学基金(2006KJ167C).

摘　　要：利用Banach不动点理论和Lyapunov函数方法,在较一般条件下研究了具有分布时滞的分流抑制细胞神经网络概周期解的存在性和全局吸引性,给出了新的判据,推广了已知文献的一些结果且易于在实际工程领域中验证。By using the Banach fixed point theory and constructing the Lyapunov functional, the existence and global attractivity of almost periodic solutions for shunting inhibitory cellular neural networks with distributed delays are studied under more general conditions. New criteria are obtained. Our conclusion extends results in existing literature and is easy to check in the areas of the practical engineering.

关 键 词：分流抑制细胞神经网络 分布时滞 概周期解 

分 类 号：O175.14[理学—数学]