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Izvestiya: Mathematics, 2006, Volume 70, Issue 1, Pages 109–120
DOI: https://doi.org/10.1070/IM2006v070n01ABEH002305 (Mi im563) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Periodic solutions of a non-linear wave equation with homogeneous boundary conditions

I. A. Rudakov

M. V. Lomonosov Moscow State University
English version PDF (326 kB) Citations (8)
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DOI: https://doi.org/10.1070/IM2006v070n01ABEH002305
Abstract: We prove the existence of time-periodic solutions of a non-linear wave equation with homogeneous boundary conditions. The non-linear term either has polynomial growth or satisfies a “non-resonance” condition.
Received: 29.01.2004
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 1, Pages 117–128
DOI: https://doi.org/10.4213/im563
Bibliographic databases:
UDC: 517.946
Language: English
Original paper language: Russian
Citation: I. A. Rudakov, “Periodic solutions of a non-linear wave equation with homogeneous boundary conditions”, Izv. Math., 70:1 (2006), 109–120
Citation in format AMSBIB
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\by I.~A.~Rudakov
\paper Periodic solutions of a non-linear wave equation with homogeneous boundary conditions
\jour Izv. Math.
\yr 2006
\vol 70
\issue 1
\pages 109--120
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Linking options:
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  • https://doi.org/10.1070/IM2006v070n01ABEH002305
  • https://www.mathnet.ru/eng/im/v70/i1/p117
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:435
    Russian version PDF:231
    English version PDF:12
    References:58
    First page:1
     
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