Positive Lp solutions of Hammerstein integral equations

Maria Meehan; Donal O'Regan

doi:10.1007/PL00000446

Positive L^p solutions of Hammerstein integral equations

Maria Meehan, Donal O'Regan

Mathematics

Dublin City University

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

24 Citations (Scopus)

Abstract

In this paper we use Krasnoselskii's fixed point theorem to establish the existence of at least one positive solution y ∈ L^P[0, T] of the integral equation y(t) = h(t) + ∫₀^T k(t,s)f(s,y(s)) ds. a.e. t ∈ [0,T] and related equations.

Original language	English
Pages (from-to)	366-376
Number of pages	11
Journal	Archiv der Mathematik
Volume	76
Issue number	5
DOIs	https://doi.org/10.1007/PL00000446
Publication status	Published - 2001

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title = "Positive Lp solutions of Hammerstein integral equations",

abstract = "In this paper we use Krasnoselskii's fixed point theorem to establish the existence of at least one positive solution y ∈ LP[0, T] of the integral equation y(t) = h(t) + ∫0T k(t,s)f(s,y(s)) ds. a.e. t ∈ [0,T] and related equations.",

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

year = "2001",

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AU - Meehan, Maria

AU - O'Regan, Donal

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AB - In this paper we use Krasnoselskii's fixed point theorem to establish the existence of at least one positive solution y ∈ LP[0, T] of the integral equation y(t) = h(t) + ∫0T k(t,s)f(s,y(s)) ds. a.e. t ∈ [0,T] and related equations.

UR - https://www.scopus.com/pages/publications/0035589582

U2 - 10.1007/PL00000446

DO - 10.1007/PL00000446

M3 - Article

AN - SCOPUS:0035589582

SN - 0003-889X

VL - 76

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EP - 376

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 5

ER -

Positive L^p solutions of Hammerstein integral equations

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