ASYMPTOTIC EQUIVALENCE OF ABSTRACT IMPULSIVE DIFFERENTIAL-EQUATIONS

Authors
BAINOV DD KOSTADINOV SI MYSHKIS AD
Citation
Dd. Bainov et al., ASYMPTOTIC EQUIVALENCE OF ABSTRACT IMPULSIVE DIFFERENTIAL-EQUATIONS, International journal of theoretical physics, 35(2), 1996, pp. 383-393
Citations number
13
Categorie Soggetti
Physics
Journal title
International journal of theoretical physics → ACNP
ISSN journal
00207748
Volume
35
Issue
2
Year of publication
1996
Pages
383 - 393
Database
ISI
SICI code
0020-7748(1996)35:2<383:AEOAID>2.0.ZU;2-A
Abstract
The notion of (h, k)-dichotomy is introduced, which is a generalizatio n of the classical exponential dichotomy. By means of the Schauder-Tyc honoff theorem an asymptotic equivalence is proved between a linear im pulsive differential equation which is (h, k)-dichotomous and the corr esponding perturbed nonlinear equation.