具有S-分布时滞的中立型细胞神经网络的周期解的存在性  

The Existence of Periodic Solutions of Neutral Type Cellular Neural Networks with S Type Distributed Delays

作　　者：李长军[1] 任幸福 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2016年第5期138-144,共7页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(41275013)资助~~

摘　　要：由于具有S-分布时滞的中立型细胞神经网络的应用越来越广泛,因此对其进行研究不但是理论需要也是应用需要。本文通过利用拓扑度理论和不等式技巧,研究了具有S-分布时滞的中立型细胞神经网络周期解的存在性,给出了周期解存在的判据,并举例说明了所得结果的正确性,推广了相关文献[4,7]等的结果。With the development of science and technology,the Neutral type Cellular Neural Networks with S type distributed Delays were widely used in many fields.So its study is not only needed by theory but also by practice.By using the theory of coincidence degree and with the help of methods of differential inequality,the problem on the existence of periodic solutions of Neutral type Cellular Neural Networks with S type distributed Delays was studyed.A criterion of periodic solutions was obtained.An example was given to demonstrate the accuracy of the proposed results and some results were extended in the paper.

关 键 词：细胞神经网络 拓扑度理论 周期解 S-分布时滞 

分 类 号：O175[理学—数学]