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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
References:
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
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 7, Pages 91–108
DOI: https://doi.org/10.4213/sm1525
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”, Mat. Sb., 198:7 (2007), 91–108; Sb. Math., 198:7 (2007), 993–1009
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/sm1525
  • https://doi.org/10.1070/SM2007v198n07ABEH003870
  • https://www.mathnet.ru/eng/sm/v198/i7/p91
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:446
    Russian version PDF:217
    English version PDF:9
    References:63
    First page:4
     
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