Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 42, pp. 1-11.

Title: Stochastic stability of Cohen-Grossberg neural networks 
       with unbounded distributed delays
       
Authors: Ping Chen     (Changsha Univ. of Science and Tech., China)
         Chuangxia Huang (Changsha Univ. of Science and Tech., China)
	 Xiaolin Liang (Changsha Univ. of Science and Tech., China)

Abstract:
  In this article, we  consider a model that
  describes the dynamics of Cohen-Grossberg neural networks with
  unbounded distributed delays, whose state variable are governed
  by stochastic non-linear integro-differential equations.
  Without assuming the smoothness, monotonicity and boundedness
  of the activation functions, by constructing suitable Lyapunov
  functional, employing the semi-martingale convergence theorem
  and some inequality, we obtain some sufficient criteria to check
  the almost exponential stability of  networks.

Submitted December 21, 2009. Published March 26, 2010.
Math Subject Classifications: 34F05, 93E15.
Key Words: Cohen-Grossberg neural networks; stochastic; distributed delays;
           almost sure exponential stability; Lyapunov functional.