Blow-up and global existence of solutions to integral equations with infinite delay in Banach spaces

被引：20

作者：

Xiao, Ti-Jun ^{[1
]}

Liang, Jin ^{[2
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Cauchy problem; Integral equation; Infinite delay; Blow-up; Banach space; FUNCTIONAL-DIFFERENTIAL EQUATIONS;

D O I：

10.1016/j.na.2009.01.204

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present new blow-up theorems, which are only in terms of the ordinary limit, for the solutions to the Cauchy problem for integral equations with infinite delay in Banach spaces. Moreover, we provide an example to illustrate our abstract result. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：E1442 / E1447

页数：6

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