Asymptotic equivalence of ordinary and impulsive operator-differential equations

被引：1

作者：

Martynyuk, Anatoliy A. ^{[1
]}

Stamov, Gani T. ^{[2
]}

Stamova, Ivanka ^{[2
]}

机构：

[1] NAS Ukraine, SP Timoshenko Inst Mech, 3 Nesterov Str, UA-5703057 Kiev, Ukraine

[2] Univ Texas San Antonio, Dept Math, One UTSA Circle, San Antonio, TX 78249 USA

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 78卷

关键词：

Asymptotic equivalence; Operator-differential equations; Impulses; PERIODIC-SOLUTIONS; SYSTEMS; STABILITY;

D O I：

10.1016/j.cnsns.2019.104891

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the global asymptotic equivalence of ordinary and impulsive operator-differential equations with nonlinear impulsive operators is investigated. A technique based on the contraction mapping principle is applied. Some known results are improved and generalized. Since the impulsive operator-differential equation is quite general, our results can be applied in the qualitative investigations of many practical problems of diverse interest. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：11

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