Positive solutions of boundary-value problems for disfocal ordinary differential equations
type: Item
instance of: scholarly article
title: Positive solutions of boundary-value problems for disfocal ordinary differential equations
zbMATH Open document ID: 0897.34022
DOI: 10.1016/S0377-0427(97)00206-9
author: Paul W. Eloe
published in: Journal of Computational and Applied Mathematics
publication date: 1998-10-19T00:00:00Z
review text: The paper is concerned with finding values of \(\lambda\in(0,\infty)\) for which there exist positive solutions to the boundary value problem \[ Lx(t)+ \lambda a(t)f(x(t))= 0,\quad t\in[0,1],\quad x(0)= x(1)= 0, \] where \(Lx(t)= 0\), \(0\leq t\leq 1\) denotes a disfocal second-order ordinary differential equation, \(f:[0,+\infty)\to [0,+\infty)\) and \(a: [0,1]\to [0,+\infty)\) are continuous functions. The author applies a cone-theoretic fixed point theorem to prove the existence of positive solutions and multiple positive solutions.
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1135863
zbMATH Keywords: boundary value problem
zbMATH Keywords: disfocal second-order ordinary differential equation
zbMATH Keywords: cone-theoretic fixed point theorem
zbMATH Keywords: multiple positive solutions
reviewed by: Abdelkader Boucherif
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1135863