Solutions of Volterra integral equations with infinite delay

Donal O'Regan

doi:10.1002/mana.200510605

Solutions of Volterra integral equations with infinite delay

Donal O'Regan

Mathematics

Universidad Nacional de Educación a Distancia (UNED)

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English (Ireland)
Pages (from-to)	325-336
Number of pages	12
Journal	MATHEMATISCHE NACHRICHTEN
Volume	281
Issue number	3
DOIs	https://doi.org/10.1002/mana.200510605
Publication status	Published - 1 Aug 2008

Keywords

Existence results
Infinite delay
Periodic solutions
Positive solutions
Volterra integral equation

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Franco, D,O'Regan, D

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10.1002/mana.200510605

Cite this

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abstract = "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.",

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N2 - 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.

AB - 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.

KW - Existence results

KW - Infinite delay

KW - Periodic solutions

KW - Positive solutions

KW - Volterra integral equation

UR - https://www.scopus.com/pages/publications/55449084593

U2 - 10.1002/mana.200510605

DO - 10.1002/mana.200510605

M3 - Article

VL - 281

SP - 325

EP - 336

JO - MATHEMATISCHE NACHRICHTEN

JF - MATHEMATISCHE NACHRICHTEN

IS - 3

ER -

Solutions of Volterra integral equations with infinite delay

Abstract

Keywords

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