Constant-sign solutions of a system of Fredholm integral equations
type: Item
instance of: scholarly article
title: Constant-sign solutions of a system of Fredholm integral equations
zbMATH Open document ID: 1053.45004
author: Ravi P. Agarwal
author: Donal O'Regan
author: Patricia J. Y. Wong
published in: Acta Applicandae Mathematicae
publication date: 2004-06-11T00:00:00Z
review text: The following system of Hammerstein integral equations is investigated \[ u_i(t)= \int^1_0 g_i(t,s) f_i(s, u_1(s), u_2(s),\dots, u_n(s))\,ds\tag{1} \] and \(i= 1,2,\dots, n\). A few theorems are proved on the existence of solutions (single, double or multiple) of the system (1) with constant sign. The obtained results are illustrated through applications to various types of boundary value problems. Moreover, the authors consider also the system of Hammerstein integral equations on half line of the form: \[ u_i(t)= \int^\infty_0 g_i(t,s) f_i(s, u_1(s), u_2(s),\dots, u_n(s))\,ds, \] \(t\in [0,\infty)\), \(i= 1,2,\dots, n\).
reviewed by: Józef Banaś
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 45M20
zbMATH DE Number: 2073430
zbMATH Keywords: constant-sign solutions
zbMATH Keywords: system of Fredholm integral equations
zbMATH Keywords: system of Hammerstein integral equations
zbMATH Keywords: boundary value problems
MaRDI profile type: Publication
DOI: 10.1023/B:ACAP.0000013257.42126.CA
description: scientific article; zbMATH DE number 2073430