Global exponential stability of nonautonomous neural networks with time-varying delays and reaction-diffusion terms

Authors:
Jinxian Li;Fengqin Zhang;Jurang Yan
Affiliations:
School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, PR China;Department of Mathematics, Yuncheng University, Yuncheng, Shanxi 044000, PR China;School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 2
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Abstract

A class of nonautonomous neural networks with time-varying delays and reaction-diffusion terms is considered. By means of Lyapunov functionals and differential inequality techniques, criteria on global exponential stability of this model with the Neumann boundary conditions and the Dirichlet boundary conditions are derived, respectively. The results of this paper are new and they improve and generalize previously known results.