The Existence of Periodic Solutions for Hopfield Neural Network Equations with Periodic Input

Aim To investigate the existence and stability of general Hopfield neural network equation with periodic input. Methods\ By using of the integral inequality and V function, the bound of periodic solution was estimated, then the Mawhin's topological method was used to obtain the existence of periodic solution. Results and Conclusion\ Two sufficient conditions to guarantee the existence of periodic solution for this network systems were obtained, and it extended the results in related literatures.