Strict stability in terms of two measures for impulsive differential equations with 'supremum'

被引：17

作者：

Agarwal, Ravi P. ^{[1
,2
]}

Hristova, Snezhana ^{[3
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[3] Paisij Hilendarski Univ Plovdiv, Dept Appl Math & Modeling, Plovdiv 4000, Bulgaria

来源：

APPLICABLE ANALYSIS | 2012年 / 91卷 / 07期

关键词：

strict stability; two measures; piecewise continuous Lyapunov functions; impulses; differential equations with 'supremum';

D O I：

10.1080/00036811.2011.569500

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Strict stability for a nonlinear system of impulsive differential equations with 'supremum' is defined and studied. Razhumikhin method with piecewise continuous scalar Lyapunov functions and comparison results for scalar impulsive differential equations are the bases of the main proofs. To unify a variety of stability concepts and to offer a general framework for the investigation of the stability theory, the notion of stability in terms of two measures has been applied. An example illustrating the usefulness of the obtained sufficient conditions is also included.

引用

页码：1379 / 1392

页数：14

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