Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 53, No. 1, pp. 43-51 (1996)

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Stability Theorems of Perturbed Linear Systems with Impulse Effect

Jurang Yan

Department of Mathematics, Shanxi University,
Taiyuan, Shanxi, 030006 - P.R. CHINA

Abstract: In this paper, some sufficient conditions for stability of the zero solution of perturbed linear ordinary differential equations with impulse effect are given. The approach presented is based on the variation of constants formula and the comparison theorem of differential inequalities with impulse effect.

Keywords: Differential equation with impulse effect; stability.

Classification (MSC2000): 34A37, 34D10

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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