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

I. A. Rudakov

Matematičeskie zametki, Tome 101 (2017) no. 1, pp. 116-129.

Résumé

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.

Détail

Keywords: wave equation, periodic solutions, variational method, perturbation of even functionals.

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