A new result on impulsive differential equations involving non-absolutely convergent integrals

被引：19

作者：

Di Piazza, L. ^{[1
]}

Satco, B. ^{[2
]}

机构：

[1] Univ Palermo, Dept Math, I-90123 Palermo, Italy

[2] Stefan Cel Mare Univ Suceava, Fac Elect Engn & Comp Sci, Suceava, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 352卷 / 02期

关键词：

Impulsive differential equation; Henstock integral; Henstock-Lebesgue integral; Darbo fixed point theorem; BANACH-SPACES; EXISTENCE THEOREMS; GLOBAL-SOLUTIONS; VALUED FUNCTIONS; BOCHNER;

D O I：

10.1016/j.jmaa.2008.11.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain, as air application of a Darbo-type theorem, global solutions for differential equations with impulse effects, under the assumption that the function on the right-hand side is integrable in the Henstock sense. We thus generalize several previously given results ill literature, for ordinary or impulsive equations. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：954 / 963

页数：10

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