Positive solutions for singular boundary value problems of a coupled system of differential equations
type: Item
instance of: scholarly article
title: Positive solutions for singular boundary value problems of a coupled system of differential equations
zbMATH Open document ID: 1076.34022
author: Huimin Yu
author: Yansheng Liu
author: Haiyan Lu
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-02-22T00:00:00Z
review text: The authors study existence conditions for multiple positive solutions on a particular two-point boundary value problem for a system of two nonlinear ordinary differential equations, one of order 4 and the other one of order 2, with singularities in the right-hand sides and possible applications in civil construction engineering. Under appropriate assumptions, first, the existence of at least one positive solution is established and, second, the existence of at least two positive solutions is also established by means of a fixed-point theorem of cone expansion and compression. The utility of the approach is illustrated by three concrete examples.
reviewed by: Nikolai L. Vulchanov
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 2136266
zbMATH Keywords: two-point boundary value problems
zbMATH Keywords: system of two nonlinear ordinary differential equations
zbMATH Keywords: singular right-hand sides
zbMATH Keywords: fixed-point theorems
zbMATH Keywords: multiple positive solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.08.003
OpenAlex ID: W2087248253
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DOI: 10.1016/J.JMAA.2004.08.003
description: scientific article; zbMATH DE number 2136266