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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title = "Fredholm and Volterra integral equations with integrable singularities",

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.",

keywords = "Existence, Fredholm, Integrable singularities, Integral equations, Volterra",

author = "Agarwal, \{Ravi P.\} and D. O{\textquoteright}Regan",

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T1 - Fredholm and Volterra integral equations with integrable singularities

AU - Agarwal, Ravi P.

AU - O’Regan, D.

PY - 2004

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N2 - 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.

AB - 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.

KW - Existence

KW - Fredholm

KW - Integrable singularities

KW - Integral equations

KW - Volterra

UR - https://www.scopus.com/pages/publications/85016460982

U2 - 10.14492/hokmj/1285766176

DO - 10.14492/hokmj/1285766176

M3 - Article

AN - SCOPUS:85016460982

SN - 0385-4035

VL - 33

SP - 443

EP - 456

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

IS - 2

ER -

Fredholm and Volterra integral equations with integrable singularities

Abstract

Keywords

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