Existence and multiplicity of boundary blow-up nonnegative solutions to two-point boundary value problems
type: Item
instance of: scholarly article
title: Existence and multiplicity of boundary blow-up nonnegative solutions to two-point boundary value problems
zbMATH Open document ID: 0966.34018
DOI: 10.1016/S0362-546X(98)00336-8
author: Shin-Hwa Wang
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2001-08-08T00:00:00Z
review text: This article is concerned with the existence and the multiplicity of boundary blow-up nonnegative solutions to nonlinear boundary value problems of the form \[ -u''(x) = \lambda f(u(x)), \quad 0 < x < 1, \qquad \lim_{x \rightarrow 0^{+}} u(x) = \lim_{x \rightarrow 1^{-}} u(x) = \infty, \] where \(\lambda\) is positive and \(f\) is a Lipschitz continuous function. The results presented here extend and improve some previous one obtained by \textit{V. Anuradha, Ch. Brown} and \textit{R. Shivaji} [Nonlinear Anal., Theory Methods Appl. 26, No. 3, 613-630 (1996; Zbl 0846.34015)]. Moreover, some numerical simulations are given.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1491642
zbMATH Keywords: boundary value problems
zbMATH Keywords: blow-up solutions
zbMATH Keywords: nonnegative solutions
zbMATH Keywords: ordinary differential equations
zbMATH Keywords: existence
zbMATH Keywords: multiplicity
reviewed by: Antonio Cañada
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00336-8
OpenAlex ID: W2083319169
Wikidata QID: Q127628546
description: scientific article; zbMATH DE number 1491642