Stability by Lyapunov like functions of nonlinear differential equations with non-instantaneous impulses

被引：49

作者：

Agarwal, Ravi ^{[1
]}

O'Regan, D. ^{[2
]}

Hristova, S. ^{[3
]}

机构：

[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

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

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 53卷 / 1-2期

关键词：

Non-instantaneous impulses; Stability; Lyapunov functions;

D O I：

10.1007/s12190-015-0961-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The stability of the solutions of a nonlinear differential equation with noninstantaneous impulses is studied using Lyapunov like functions. In these differential equation we have impulses, which start abruptly at some points and their action continue on given finite intervals. Sufficient conditions for stability, uniform stability and asymptotic uniform stability of the solutions are established. Examples are given to illustrate the results. Also, some of the results are applied to study a dynamical model in Pharmacokinetics.

引用

页码：147 / 168

页数：22

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