一类具有变时滞和脉冲的分层抑制细胞神经网络模型周期解的存在性

Existence of periodic solution for shunting inhibitory cellular neural networks with variable delays and impulses

应用不等式技巧、Mawhin迭合度理论研究了带分布连续时滞和脉冲的SICNNs模型周期解的存在性,得到系统至少存在一个ω周期解的充分条件.最后,通过一个例子验证了结论的正确性.

This paper is devoted to the global existence of one periodic solution for shunting inhibitory cellular neural networks （SICNNs） with time varying and continuously distributed delays and impulses by using inequality techniques and the Mawhin＇s continuation theorem ,a sufficient condition that the system there has at least a ω‐periodic solution is given . Finally , an example is provided to show the correctness of our analysis .