Positive periodic solution for inertial neural networks with time-varying delays

Feng Duan, Bo Du · International Journal of Nonlinear Sciences and Numerical Simulation · 2020

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.

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