RAZUMIKHIN METHOD TO DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES

被引：2

作者：

Agarwal, Ravi ^{[1
,2
]}

Hristova, Snezhana ^{[3
]}

O'Regan, Donal ^{[4
]}

机构：

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

[2] Florida Inst Technol, Math, Melbourne, FL 32901 USA

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

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

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2019年 / 11卷 / 01期

关键词：

Non-instantaneous impulses; stability; Razumikhin technique; Lyapunov functions; STABILITY;

D O I：

10.7153/dea-2019-11-05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The stability for delay differential equations with non-instantaneous impulses is studied using Lyapunov like functions and the Razumikhin technique. In these differential equations we have impulses, which start abruptly at some points and their action continue on given finite intervals. Sufficient conditions are given and they use comparison results for nonlinear scalar non-instantaneous impulsive equation without any delay. Examples are given to illustrate our stability properties and the influence of non-instantaneous impulses on the behavior of the solution.

引用

页码：143 / 165

页数：23

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