Solitary Wave and Periodic Wave Solutions of Generalized Neutral-Type Neural Networks with Delays

摘要

In this paper, we are concerned with the generalized neutral-type neural networks with delays. By employing the continuation theorem and some analysis techniques, several sufficient conditions of the existence of solitary wave and periodic wave solutions for the considered neural networks are proposed. Moreover, we also consider the asymptotic behavior results of periodic wave solutions via the Lyapunov function. Finally, a numerical example is given to illustrate the effectiveness of our obtained results.