Abstract
Abstract 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.
Highlights
Inertial neural networks (INNs) are represented by second-order differential system
(1) For the first time, we study the dynamic properties of positive periodic solutions of inertial neural networks with time-varying delays
In this paper we study the problems of positive periodic solutions for inertial neural networks with multiple variable delays
Summary
Inertial neural networks (INNs) are represented by second-order differential system. Some results have been obtained on the positive periodic solutions of neural networks. Hien and Hai-An [12] considered the problems of positive solutions and exponential stability of positive equilibrium of INNs with multiple time-varying delays as follows: d2xi(t) dt. Over the past few decades, periodic solutions of network systems have been widely studied and obtained many results. [14] studied a class of BAM neural network with periodic coefficients and continuously distributed delays. (1) For the first time, we study the dynamic properties of positive periodic solutions of inertial neural networks with time-varying delays.
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