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Sbornik: Mathematics, 2007, Volume 198, Issue 7, Pages 993–1009
DOI: https://doi.org/10.1070/SM2007v198n07ABEH003870 (Mi sm1525) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Periodic solutions of a quasilinear wave equation with variable coefficients

I. A. Rudakov

I. G. Petrovsky Bryansk State University
English version PDF (337 kB) Citations (10) Russian version article
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DOI: https://doi.org/10.1070/SM2007v198n07ABEH003870
Abstract: The existence of time-periodic solutions of the quasilinear equation describing the vibrations of an inhomogeneous string with homogeneous boundary conditions of the 3rd kind is proved. The non-linear term in the equation satisfies the non-resonance condition or has power-like growth.
Bibliography: 16 titles.
Received: 01.02.2006
Bibliographic databases:
UDC: 517.956.35
MSC: 35L05, 35B10
Language: English
Original paper language: Russian
Citation: I. A. Rudakov, “Periodic solutions of a quasilinear wave equation with variable coefficients”, Sb. Math., 198:7 (2007), 993–1009
Citation in format AMSBIB
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\paper Periodic solutions of a~quasilinear wave equation with
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\yr 2007
\vol 198
\issue 7
\pages 993--1009
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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