Three symmetric positive solutions for a second-order boundary value problem
type: Item
instance of: scholarly article
title: Three symmetric positive solutions for a second-order boundary value problem
zbMATH Open document ID: 0961.34014
DOI: 10.1016/S0893-9659(99)00177-9
author: Johnny Henderson
author: Richard I. Avery
published in: Applied Mathematics Letters
publication date: 2000-12-04T00:00:00Z
review text: The existence of multiple solutions to the second-order boundary value problem \[ y''+ f(y)= 0,\quad 0\leq t\leq 1,\quad y(0)= 0= y(1), \] with \(f: \mathbb{R}\to [0,\infty]\) is analyzed. A supplementary material from the theory of cones in Banach spaces and also a generalization of the Leggett-Williams fixed-point theorem are stated. Growth conditions of \(f\) which allow to apply the generalization of the Legget-Williams fixed-point theorem in obtaining three symmetric positive solutions to the inspecting equations are obtained.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1540350
zbMATH Keywords: boundary value problem
zbMATH Keywords: second-order multiple solutions
zbMATH Keywords: existence
reviewed by: Gasanbek T. Arazov
MaRDI profile type: Publication
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full work available at URL: s0893-9659(99)00177-9
OpenAlex ID: W2013396954
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description: scientific article; zbMATH DE number 1540350