Periodic solutions of second-order wave equations. III
type: Item
instance of: scholarly article
title: Periodic solutions of second-order wave equations. III
zbMATH Open document ID: 0654.35065
DOI: 10.1007/BF01057232
author: G. P. Khoma
author: Yu. A. Mitropol'skij
published in: Ukrainian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: [For Part II see ibid. 38, 617-623 (1986); translation from Ukr. Mat. Zh. 38, No.6, 733-739 (1986; Zbl 0637.35054)]. The authors investigate the existence and the structure of generalized periodic solutions of boundary value problems of the form \[ u_{tt}- u_{xx}=f(x,t,u,u_ t,u_ x),\quad 0<x<\pi,\quad t\in {\mathbb{R}}, \] \[ u(0,t)=u(\pi,t)=0,\quad u(x,t+2\pi)=u(x,t). \]
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 4067468
zbMATH Keywords: existence
zbMATH Keywords: structure
zbMATH Keywords: generalized periodic solutions
reviewed by: Valerii V. Obukhovskij
MaRDI profile type: Publication
cites work: Q5332414
cites work: Periodic solutions to weakly nonlinear autonomous wave equations
cites work: The Rayleigh wave equation—an analysis
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description: scientific article; zbMATH DE number 4067468