Positive periodic solution for inertial neural networks with time-varying delays-Reference-Cited by-同舟云学术

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

Published:2020-11-12 Issue:7-8 Volume:22 Page:861-871
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Duan Feng¹,Du Bo²

Affiliation:

1. Basic Education Department , Tongling Polytechnic , Tongling , Anhui , 244061 , PR China

2. School of Mathematics and Statistics, Huaiyin Normal University , Huaian , Jiangsu , 223300 , PR China

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2020-0016/pdf

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