This article is cited in 8 papers

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

I. A. Rudakov

Bauman Moscow State Technical University

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.

UDC: 517.956.35

Received: 01.12.2015
Revised: 26.03.2016

DOI: 10.4213/mzm11023

 English version: Mathematical Notes, 2017, 101:1, 137–148

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