Fredholm and Volterra integral equations with integrable singularities

Ravi P. Agarwal; D. O’Regan

doi:10.14492/hokmj/1285766176

Fredholm and Volterra integral equations with integrable singularities

Ravi P. Agarwal, D. O’Regan

Mathematics

Department of Mathematical Sciences

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

10 Citations (Scopus)

Abstract

Using Schauder’s fixed point theorem we present a new approach to establishing existence to Fredholm and Volterra integral equations where the nonlinearity may be singular in the dependent variable.

Original language	English
Pages (from-to)	443-456
Number of pages	14
Journal	Hokkaido Mathematical Journal
Volume	33
Issue number	2
DOIs	https://doi.org/10.14492/hokmj/1285766176
Publication status	Published - 2004

Keywords

Existence
Fredholm
Integrable singularities
Integral equations
Volterra

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10.14492/hokmj/1285766176

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abstract = "Using Schauder{\textquoteright}s fixed point theorem we present a new approach to establishing existence to Fredholm and Volterra integral equations where the nonlinearity may be singular in the dependent variable.",

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AU - Agarwal, Ravi P.

AU - O’Regan, D.

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KW - Existence

KW - Fredholm

KW - Integrable singularities

KW - Integral equations

KW - Volterra

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JO - Hokkaido Mathematical Journal

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Fredholm and Volterra integral equations with integrable singularities

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Keywords

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