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Matematicheskie Zametki, 2017, Volume 101, Issue 1, Pages 116–129
DOI: https://doi.org/10.4213/mzm11023 (Mi mzm11023) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Periodic Solutions of the Quasilinear Equation of Forced Vibrations of an Inhomogeneous String

I. A. Rudakov

Bauman Moscow State Technical University
Full-text PDF (562 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm11023
Abstract: The existence of an infinite number of periodic solutions of a quasilinear wave equation with variable coefficients, with Dirichlet and Neumann boundary conditions on the closed interval and with time-periodic right-hand side is proved. The nonlinear summand has a power-law growth.
Keywords: wave equation, periodic solutions, variational method, perturbation of even functionals.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.264.2014
Received: 01.12.2015
Revised: 26.03.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 1, Pages 137–148
DOI: https://doi.org/10.1134/S000143461701014X
Bibliographic databases:
Document Type: Article
UDC: 517.956.35
Language: Russian
Citation: I. A. Rudakov, “Periodic Solutions of the Quasilinear Equation of Forced Vibrations of an Inhomogeneous String”, Mat. Zametki, 101:1 (2017), 116–129; Math. Notes, 101:1 (2017), 137–148
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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