Three solutions of constant sign for a system of discrete equations
type: Item
instance of: scholarly article
title: Three solutions of constant sign for a system of discrete equations
zbMATH Open document ID: 1075.39007
author: Ravi P. Agarwal
author: Donal O'Regan
author: Patricia J. Y. Wong
published in: Acta Applicandae Mathematicae
publication date: 2005-04-07T00:00:00Z
review text: The authors prove the existence of at least three constant solutions of the following system of discrete equations \[ u_i(k)=\sum_{\ell= 0}^N g_i(k,\ell)P_i(\ell,u_i(\ell,\dots,u_n(\ell)),\quad k=0,1,\dots,T,\;i=1,\dots,n,\;N\in\mathbb N\cup\{\infty\}. \] In the proofs different types of Krasnoselskii's fixed point theorem (Leggett-Williams, Avery, five functional) are employed. The setting for the main result is quite general, so in the second part the authors discuss numerous special cases.
reviewed by: Stefan Hilger
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 45G15
zbMATH DE Number: 2153911
zbMATH Keywords: constant sign solutions
zbMATH Keywords: boundary value problem
zbMATH Keywords: fixed point theorem
zbMATH Keywords: system of discrete equations
MaRDI profile type: Publication
full work available at URL: s10440-005-1585-3
OpenAlex ID: W2055737371
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DOI: 10.1007/S10440-005-1585-3
description: scientific article; zbMATH DE number 2153911