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Existence and exponential stability of almost periodic solutions for neutral-type BAM neural networks with distributed leakage delays.

Authors :
Xu, Changjin
Li, Peiluan
Pang, Yicheng
Source :
Mathematical Methods in the Applied Sciences; Apr2017, Vol. 40 Issue 6, p2177-2196, 20p
Publication Year :
2017

Abstract

This paper is concerned with a class of neutral-type BAM neural networks with distributed leakage delays. By applying the exponential dichotomy of linear differential equations, Lyapunov functional method and contraction mapping principle, we establish some sufficient conditions which ensure the existence and exponential stability of almost periodic solutions for such BAM neural networks. An example is given to illustrate the effectiveness of the theoretical findings. The results obtained in this article are completely new and complement the previously known studies. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
40
Issue :
6
Database :
Complementary Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
121698677
Full Text :
https://doi.org/10.1002/mma.4132