Geodesic
Periodic Solutions of the Quasilinear Equation of Forced Vibrations of an Inhomogeneous String
Matematičeskie zametki, Tome 101 (2017) no. 1, pp. 116-129

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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. 
I. A. Rudakov. Periodic Solutions of the Quasilinear Equation of Forced Vibrations of an Inhomogeneous String. Matematičeskie zametki, Tome 101 (2017) no. 1, pp. 116-129. http://geodesic.mathdoc.fr/item/MZM_2017_101_1_a10/
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