Multiplicity results for nonlinear wave equations with nonlinearities crossing eigenvalues
type: Item
instance of: scholarly article
title: Multiplicity results for nonlinear wave equations with nonlinearities crossing eigenvalues
zbMATH Open document ID: 0835.35091
author: Tacksun Jung
author: Q-Heung Choi
published in: Hokkaido Mathematical Journal
publication date: 1995-09-12T00:00:00Z
review text: The existence of a solution for a nonlinear perturbation of the one- dimensional wave operator is established under Dirichlet conditions on the interval \(-\pi/2< x< \pi/2\) with \(\pi\)-periodic conditions with respect to \(t\). The problem is related to the behaviour of a string of non-uniform density vibrating in the vertical plane when the upward and downward acting forces are not uniform.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K05
zbMATH DE Number: 784561
zbMATH Keywords: nonlinear wave equation
zbMATH Keywords: multiplicity of solutions
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1380892535
OpenAlex ID: W2004842417
DOI: 10.14492/HOKMJ/1380892535
description: scientific article; zbMATH DE number 784561