Nonlinear integral equations singular in the dependent variable

Donal O'Regan

doi:10.1016/j.aml.2006.09.012

Nonlinear integral equations singular in the dependent variable

Donal O'Regan

Mathematics

Department of Mathematical Sciences

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

13 Citations (Scopus)

Abstract

Nonnegative solutions are established for nonlinear integral equations where the nonlinearity G(t, y) may be singular at y = 0. Existence is established using the Leray-Schauder alternative. (C) 2007 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	1137-1141
Number of pages	5
Journal	Applied Mathematics Letters
Volume	20
Issue number	11
DOIs	https://doi.org/10.1016/j.aml.2006.09.012
Publication status	Published - 1 Nov 2007

Keywords

Leray-Schauder alternative
Nonnegative solutions
Second order boundary value problems
Singular integral equations

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

Authors
O'Regan, D,Agarwal, RP,Perera, K

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10.1016/j.aml.2006.09.012

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abstract = "Nonnegative solutions are established for nonlinear integral equations where the nonlinearity G(t, y) may be singular at y = 0. Existence is established using the Leray-Schauder alternative. (C) 2007 Elsevier Ltd. All rights reserved.",

keywords = "Leray-Schauder alternative, Nonnegative solutions, Second order boundary value problems, Singular integral equations",

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AB - Nonnegative solutions are established for nonlinear integral equations where the nonlinearity G(t, y) may be singular at y = 0. Existence is established using the Leray-Schauder alternative. (C) 2007 Elsevier Ltd. All rights reserved.

KW - Leray-Schauder alternative

KW - Nonnegative solutions

KW - Second order boundary value problems

KW - Singular integral equations

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JO - Applied Mathematics Letters

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Nonlinear integral equations singular in the dependent variable

Abstract

Keywords

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

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