Multiple nonnegative solutions of second-order systems of boundary value problems
type: Item
instance of: scholarly article
title: Multiple nonnegative solutions of second-order systems of boundary value problems
zbMATH Open document ID: 0973.34014
DOI: 10.1016/S0362-546X(99)00152-2
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2001-11-27T00:00:00Z
review text: The author deals with the existence of at least two nonnegative solutions to a vector boundary value problem of the form \[ x''+\lambda a(t)f(x(t),y(t))=0, \quad y''+\lambda b(t)g(x(t),y(t))=0, \quad 0\leq t\leq 1, \] with the boundary conditions \(x(0)=x(1)=0\) and \(y(0)=y(1)=0.\) The dimensions of the range of the functions \(f\) and \(g\) are not necessary the same. The functions \(a,b\) are diagonal-valued with positive components. The author provides sufficient conditions so that by applying a fixed-point theorem in a cone the existence of at least two nonnegative solutions is guarranteed.
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1526172
zbMATH Keywords: second-order boundary value problem
zbMATH Keywords: nonnegative solutions
author: Ruyun Ma
reviewed by: George Karakostas
MaRDI profile type: Publication
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full work available at URL: s0362-546x(99)00152-2
OpenAlex ID: W2094178212
description: scientific article; zbMATH DE number 1526172