Existence and uniqueness results for impulsive functional differential equations with scalar multiple delay and infinite delay

被引：32
|
作者：
Ouahab, Abdelghani [1 ]
机构：
[1] Univ Sidi Bel Abbes, Math Lab, Sidi Bel Abbes 22000, Algeria
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 04期
关键词：
impulsive functional differential equations; uniqueness; multiple delay; phase space; infinite delay; Frechet spaces; POSITIVE PERIODIC-SOLUTIONS; GLOBAL EXISTENCE; INTEGRODIFFERENTIAL EQUATIONS; ATTRACTIVITY; VACCINATION; POPULATION; DEPENDENCE; SYSTEMS; SPACE; MODEL;
D O I：
10.1016/j.na.2006.06.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss local and global existence and uniqueness results for first order impulsive functional differential equations with multiple delay. We shall rely on a nonlinear alternative of Leray-Schauder. For the global existence and uniqueness we apply a recent nonlinear alternative of Leray-Schauder type in Frechet spaces, due to M. Frigon and A. Granas [Resultats de type Leray-Schauder pour des contractions sur des espaces de Frechet, Ann. Sci. Math. Quebec 22 (2) (1998) 161-168]. The goal of this paper is to extend the problems considered by A. Ouahab [Local and global existence and uniqueness results for impulsive differential equations with multiple delay, J. Math. Anal. Appl. 323 (2006) 456-472]. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：1027 / 1041
页数：15
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