Infinitely many periodic solutions for the equation: \(u_{tt}-u_{xx}\pm | u| ^{s-1}\,u=f(x,t)\)
type: Item
instance of: scholarly article
title: Infinitely many periodic solutions for the equation: \(u_{tt}-u_{xx}\pm | u| ^{s-1}\,u=f(x,t)\)
zbMATH Open document ID: 0591.35008
author: Kazunaga Tanaka
published in: Proceedings of the Japan Academy. Series A
publication date: 1985-01-01T00:00:00Z
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 3948820
zbMATH Keywords: nonlinear wave equations
zbMATH Keywords: \(2\pi\)-periodic solutions
zbMATH Keywords: dual variational
zbMATH Keywords: formulation
MaRDI profile type: Publication
full work available at URL: pjaa.61.70
OpenAlex ID: W2048919763
cites work: Periodic solutions of nonlinear vibrating strings and duality principles
cites work: Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
cites work: Multiple Critical Points of Perturbed Symmetric Functionals
cites work: Large amplitude time periodic solutions of a semilinear wave equation
cites work: Density of the range of a wave operator with nonmonotone superlinear nonlinearity
cites work: Q3326126
DOI: 10.3792/PJAA.61.70
description: scientific article; zbMATH DE number 3948820