In this paper the problems of the existence and stability of positive periodic solutions of inertial neural networks with time-varying delays are discussed by the use of Mawhin’s continuation theorem and Lyapunov functional method. Some sufficient conditions are obtained for guaranteeing the existence and stability of positive periodic solutions of the considered system. Finally, a numerical example is given to illustrate the effectiveness of the obtained results.

中文翻译：

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时变时滞惯性神经网络的正周期解

本文利用Mawhin连续定理和Lyapunov泛函方法，讨论了具有时变时滞的惯性神经网络正周期解的存在性和稳定性问题。获得了一些足够的条件来保证所考虑系统的正周期解的存在和稳定性。最后，通过数值例子说明了所得结果的有效性。