Positive solutions to superlinear singular boundary value problems
type: Item
instance of: scholarly article
title: Positive solutions to superlinear singular boundary value problems
zbMATH Open document ID: 0902.34017
DOI: 10.1016/S0377-0427(97)00205-7
author: Ravi P. Agarwal
author: Donal O'Regan
published in: Journal of Computational and Applied Mathematics
publication date: 1998-12-15T00:00:00Z
review text: In the study of nonlinear phenomena many mathematical models give rise to problems \[ y''+ q(t) f(t,y)= 0,\quad 0< t< 1,\tag{1} \] \[ y(0)= y(1)= 0 \] with \(q\in C(0,1)\), \(q>0\) on \((0,1)\), and \(f:[0, 1]\times (0,\infty)\to \mathbb{R}\) is continuous. The authors prove the existence of a solution \(y(t)\in C[0,1]\cap C^2(0, 1)\) with \(y>0\) on \((0,1)\) to the problem (1) if there are some supplementary assumptions on \(q(t)\) and \(f(t,y)\).
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 1135869
zbMATH Keywords: boundary value problems
zbMATH Keywords: positive
zbMATH Keywords: singular
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1135869