Multiple positive solutions of BVPs for third-order discrete difference systems.
type: Item
instance of: scholarly article
title: Multiple positive solutions of BVPs for third-order discrete difference systems.
zbMATH Open document ID: 1042.39003
DOI: 10.1016/S0096-3003(03)00147-4
author: Jian-Ping Sun
author: Wan-Tong Li
published in: Applied Mathematics and Computation
publication date: 2004-03-14T00:00:00Z
review text: The paper deals with the system \[ \Delta^3 u_1(x)+ f_1(k, u_1(k), u_2(k))= 0,\quad \Delta^3 u_2(k)+ f_2(k, u_1(k), u_2(k))= 0,\quad 0\leq k\leq T, \] subject to \(u_i(0)= u_i(1)= u_i(T+ 3)= 0\) for \(i= 1,2\). By means of a fixed point theorem due to \textit{R. W. Leggett} and \textit{L. R. Williams} [Indiana Univ. Math. J. 28, 673--688 (1979; Zbl 0421.47033)] the existence of three positive solutions is proved under suitable conditions.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2056083
zbMATH Keywords: Discrete system
zbMATH Keywords: Positive solution
zbMATH Keywords: Cone
zbMATH Keywords: Fixed point
reviewed by: Lothar Berg
MaRDI profile type: Publication
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full work available at URL: s0096-3003(03)00147-4
OpenAlex ID: W2019258166
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description: scientific article; zbMATH DE number 2056083