GLOBAL EXISTENCE AND STABILITY OF SOLUTIONS FOR REACTION-DIFFUSION FUNCTIONAL-DIFFERENTIAL EQUATIONS

Authors
HE MX
Citation
Mx. He, GLOBAL EXISTENCE AND STABILITY OF SOLUTIONS FOR REACTION-DIFFUSION FUNCTIONAL-DIFFERENTIAL EQUATIONS, Journal of mathematical analysis and applications, 199(3), 1996, pp. 842-858
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
199
Issue
3
Year of publication
1996
Pages
842 - 858
Database
ISI
SICI code
0022-247X(1996)199:3<842:GEASOS>2.0.ZU;2-G
Abstract
In this article, a class of reaction diffusion functional differential equations is investigated. The global existence and uniqueness of sol utions and the stability of the trivial solution are obtained. Some ap plications are also discussed. The method proposed in this article is a combination of the iterative analysis, the fixed point theorem, and the comparison principle. (C) 1996 Academic Press, Inc.