Upper and lower solutions and multiplicity results
type: Item
instance of: scholarly article
title: Upper and lower solutions and multiplicity results
zbMATH Open document ID: 0961.34004
author: Irena Rachůnková
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-05-16T00:00:00Z
review text: Using the topological degree theory, the author obtains some multiplicity results for the second-order differential equation \(x''=f(t,x,x')\), with both linear (periodic and Neumann) and nonlinear boundary conditions. Here, \(f:[a,b]\times \mathbb{R}^2 \to \mathbb{R}\) is continuous and satisfies certain growth conditions. The results extend those from a previous paper by the author, established for \(f\) bounded [J. Math. Anal. Appl. 234, No. 1, 311-327 (1999)].
reviewed by: Eduardo Liz
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1496303
zbMATH Keywords: boundary value problem
zbMATH Keywords: topological degree
zbMATH Keywords: multiplicity results
zbMATH Keywords: upper and lower solutions
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6798
OpenAlex ID: W2128179459
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DOI: 10.1006/JMAA.2000.6798
description: scientific article; zbMATH DE number 1496303