Stability on a cone in terms of two measures for impulsive differential equations with "supremum"

被引：20

作者：

Hristova, Snezhana G. ^{[1
]}

机构：

[1] Paisij Hilendarski Univ Plovdiv, Dept Appl Math & Modeling, BG-4000 Plovdiv, Bulgaria

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 05期

关键词：

phi(0)-stability in terms of two measures; Piecewise continuous Lyapunov functions; Impulsive differential equations with "supremum;

D O I：

10.1016/j.aml.2009.12.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The stability of nonlinear impulsive differential equations with "supremum" is studied. A special type of stability, combining two different measures and a dot product, is defined. The definition is a generalization of several types of stability known in the literature. Razumikhin's method as well as a comparison method for scalar impulsive ordinary differential equations have been employed. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：508 / 511

页数：4

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