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Global asymptotic stability of a class of nonautonomous integro-differential systems and applications

✍ Scribed by Meng Fan; Xingfu Zou

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 332 KB
Volume: 57
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2004.02.003

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✦ Synopsis

In this paper, we study the global asymptotic stability of a class of nonautonomous integrodi erential systems. By constructing suitable Lyapunov functionals, we establish new and explicit criteria for the global asymptotic stability in the sense of Deÿnition 2.1. In the autonomous case, we discuss the global asymptotic stability of a unique equilibrium of the system, and in the case of periodic system, we establish su cient criteria for existence, uniqueness and global asymptotic stability of a periodic solution. Also explored are applications of our main results to some biological and neural network models. The examples show that our criteria are more general and easily applicable, and improve and generalize some existing results.

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