This article is cited in 13 papers

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

I. A. Rudakov<sup>ab

a</sup> N. E. Bauman Moscow State Technical University
^b Moscow State Aviation Technological University, Moscow

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.

UDC: 517.954

MSC: 35B10, 35L35, 35L77

Received: 30.04.2014
Revised: 27.11.2014

DOI: 10.4213/im8250

 English version: Izvestiya: Mathematics, 2015, 79:5, 1064–1086

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