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Izvestiya: Mathematics, 2015, Volume 79, Issue 5, Pages 1064–1086
DOI: https://doi.org/10.1070/IM2015v079n05ABEH002772 (Mi im8250) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Periodic solutions of the quasilinear equation of forced beam vibrations with homogeneous boundary conditions

I. A. Rudakovab

a N. E. Bauman Moscow State Technical University
b Moscow State Aviation Technological University, Moscow
English version PDF (378 kB) Citations (13)
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DOI: https://doi.org/10.1070/IM2015v079n05ABEH002772
Abstract: We prove the existence of a countable family of time-periodic solutions of the quasilinear equation of beam vibrations with homogeneous boundary conditions and time-periodic right-hand side in the case when the non-linear term has power growth.
Keywords: beam vibrations, time-periodic solution, variational method, perturbation of even functionals.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.264.2014
This paper was written with the financial support of the Ministry of Education and Science of the Russian Federation (grant no. 1.264.2014).
Received: 30.04.2014
Revised: 27.11.2014
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2015, Volume 79, Issue 5, Pages 215–238
DOI: https://doi.org/10.4213/im8250
Bibliographic databases:
Document Type: Article
UDC: 517.954
MSC: 35B10, 35L35, 35L77
Language: English
Original paper language: Russian
Citation: I. A. Rudakov, “Periodic solutions of the quasilinear equation of forced beam vibrations with homogeneous boundary conditions”, Izv. Math., 79:5 (2015), 1064–1086
Citation in format AMSBIB
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\by I.~A.~Rudakov
\paper Periodic solutions of the quasilinear equation of forced beam vibrations with homogeneous boundary conditions
\jour Izv. Math.
\yr 2015
\vol 79
\issue 5
\pages 1064--1086
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  • https://doi.org/10.1070/IM2015v079n05ABEH002772
  • https://www.mathnet.ru/eng/im/v79/i5/p215
    • This publication is cited in the following 13 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:544
    Russian version PDF:218
    English version PDF:15
    References:69
    First page:27
     
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