On forward (h,k) splitting for a class of noninvertible differential equations with impulse effect

被引：1

作者：

Fenner, Julio Lopez ^{[1
]}

机构：

[1] Univ La Frontera, Ctr Modelac & Computac Cient, Dept Ingn Matemat, Temuco, Chile

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 05期

关键词：

impulsive differential equations; dichotomies; noninvertibility; splitting;

D O I：

10.1016/j.na.2006.07.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of linear differential equations with impulse effect at a given set of times. We show that under general assumptions on the existence of forward solutions, a splitting can be given in terms of an (h, k) forward dichotomy, which generalizes the hyperbolicity notion for dynamical systems. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1513 / 1521

页数：9

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