State-dependent impulsive delay-differential equations

被引：11

作者：

Dubeau, F ^{[1
]}

Karrakchou, J

机构：

[1] Univ Sherbrooke, Dept Math & Informat, Sherbrooke, PQ J1K 2R1, Canada

[2] Ecole Mohammadia Ingn, Lab Etud & Rech Math Appl, Rabat, Morocco

来源：

APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

delay; differential equation; impulses; fixed point;

D O I：

10.1016/S0893-9659(01)00140-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with existence and uniqueness of solutions to delay-differential equations with infinitely many state-dependent impulses. A simple transformation allows us to show that the problem can be treated as a delay-differential equation without impulses. A fixed-point approach is then applied with an appropriate norm. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：333 / 338

页数：6

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