Existence of Global Solutions for a Class of Abstract Second-Order Nonlocal Cauchy Problem with Impulsive Conditions in Banach Spaces

被引：19

作者：

Vijayakumar, V. ^{[1
]}

Henriquez, Hernan R. ^{[2
]}

机构：

[1] Info Inst Engn, Dept Math, Coimbatore 641107, Tamil Nadu, India

[2] Univ Santiago Chile, USACH, Dept Matemat, Santiago, Chile

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2018年 / 39卷 / 06期

关键词：

Abstract second-order Cauchy problem; cosine function of operators; evolution equations; global solutions; impulsive systems; mild solutions; nonlocal conditions; TIME-DEPENDENT PERTURBATION; EVOLUTION SYSTEMS; DIFFERENTIAL-INCLUSIONS; EQUATIONS; CONTROLLABILITY;

D O I：

10.1080/01630563.2017.1414060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with a class of abstract second-order nonlocal Cauchy problem with impulsive conditions in Banach spaces. First, we study the existence of mild solutions for a class of second-order nonlocal Cauchy problem with impulsive conditions in Banach spaces on an interval [0,a]. Later, we study a couple of cases where we can establish the existence of global solutions for a class of abstract second-order nonlocal Cauchy problem with impulsive conditions in Banach spaces. We apply our theory to study the existence of solutions for impulsive partial differential equations.

引用

页码：704 / 736

页数：33

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