On the number of positive solutions of nonlinear systems.
type: Item
instance of: scholarly article
title: On the number of positive solutions of nonlinear systems.
zbMATH Open document ID: 1036.34032
DOI: 10.1016/S0022-247X(03)00100-8
author: Haiyan Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-07-30T00:00:00Z
review text: This paper is devoted to the existence, multiplicity and nonexistence of positive solutions to boundary value problems on \([0,1]\) for a class of second-order differential systems where the main common operator is the one-dimensional \(p\)-Laplacian, \(p> 1\). The author uses a fixed-point theorem in a cone due to \textit{M. A. Krasnoselskij} [Positive solutions of operator equations. Groningen: The Netherlands: P. Noordhoff Ltd. (1964; Zbl 0121.10604)].
reviewed by: Mohammed Bouchekif
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 1956862
zbMATH Keywords: fixed-point theorem
zbMATH Keywords: cone
zbMATH Keywords: nonlinear system
zbMATH Keywords: positive solution
zbMATH Keywords: superlinear and sublinear with respect to a function at zero and infinity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1956862