Positive solutions of singular and nonsingular Fredholm integral equations

Maria Meehan; Donal O'Regan

doi:10.1006/jmaa.1999.6595

Positive solutions of singular and nonsingular Fredholm integral equations

Maria Meehan
, Donal O'Regan

Mathematics

National University of Ireland

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

12 Citations (Scopus)

Abstract

The existence of positive solutions of the Fredholm nonlinear equation y(t)=h(t)+∫^T₀k(t,s)[f(y(s))+g(y(s))]ds is discussed. It is assumed that f is a continuous, nondecreasing function and g is continuous, nonincreasing, and possibly singular.

Original language	English
Pages (from-to)	416-432
Number of pages	17
Journal	Journal of Mathematical Analysis and Applications
Volume	240
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.1999.6595
Publication status	Published - 15 Dec 1999

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title = "Positive solutions of singular and nonsingular Fredholm integral equations",

abstract = "The existence of positive solutions of the Fredholm nonlinear equation y(t)=h(t)+∫T0k(t,s)[f(y(s))+g(y(s))]ds is discussed. It is assumed that f is a continuous, nondecreasing function and g is continuous, nonincreasing, and possibly singular.",

author = "Maria Meehan and Donal O'Regan",

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T1 - Positive solutions of singular and nonsingular Fredholm integral equations

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AU - O'Regan, Donal

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N2 - The existence of positive solutions of the Fredholm nonlinear equation y(t)=h(t)+∫T0k(t,s)[f(y(s))+g(y(s))]ds is discussed. It is assumed that f is a continuous, nondecreasing function and g is continuous, nonincreasing, and possibly singular.

AB - The existence of positive solutions of the Fredholm nonlinear equation y(t)=h(t)+∫T0k(t,s)[f(y(s))+g(y(s))]ds is discussed. It is assumed that f is a continuous, nondecreasing function and g is continuous, nonincreasing, and possibly singular.

UR - https://www.scopus.com/pages/publications/0000435092

U2 - 10.1006/jmaa.1999.6595

DO - 10.1006/jmaa.1999.6595

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VL - 240

SP - 416

EP - 432

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Positive solutions of singular and nonsingular Fredholm integral equations

Abstract

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