Almost Periodic Solutions for a Class of Stochastic Differential Equations-Reference-Cited by-同舟云学术

Almost Periodic Solutions for a Class of Stochastic Differential Equations

Published:2013-03-26 Issue:4 Volume:8 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Liu Yongjian¹,Liu Aimin²

Affiliation:

1. School of Mathematics and Information Science, Yulin Normal University, Yulin 537000, PRC e-mail:

2. Department of Experiment and Equipment, Yulin Normal University, Yulin 537000, PRC e-mail:

Abstract

In this paper, the existence and uniqueness of the square-mean almost periodic solutions to a class of the semilinear stochastic equations is studied. In particular, the condition of the uniform exponential stability of the linear operator is essentially removed, only using the exponential dichotomy of the linear operator. Some new criteria ensuring the existence and uniqueness of the square-mean almost periodic solution for the system are presented. Finally, an example of a kind of the stochastic cellular neural networks is given. These obtained results are important in signal processing and the in design of networks.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4023914/6103913/cnd_8_4_041002.pdf

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