Solutions of Volterra integral equations with infinite delay

被引：9

作者：

Franco, Daniel ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Univ Nacl Educ Distancia, Dept Matemat Aplicada, Madrid 28080, Spain

[2] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

MATHEMATISCHE NACHRICHTEN | 2008年 / 281卷 / 03期

关键词：

Volterra integral equation; infinite delay; existence results; periodic solutions; positive solutions;

D O I：

10.1002/mana.200510605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present several new existence results for a Volterra integral equation with infinite delay. We discuss periodic and bounded solutions. Sufficient conditions for the existence of positive periodic solutions are also provided. The techniques we employ have not been used for this equation before. Our results generalize and complement those in the literature and several examples are presented to show their applicability. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：325 / 336

页数：12

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