This article is cited in 4 papers

Periodic solutions of the wave equation with nonconstant coefficients and with homogeneous Dirichlet and Neumann boundary conditions

I. A. Rudakov

Bauman Moscow State Technical University

Abstract: We prove theorems on the existence and regularization of periodic solutions of the wave equation with variable coefficients on an interval with homogeneous Dirichlet and Neumann boundary conditions. The nonlinear term has a power-law growth or satisfies the nonresonance condition at infinity.

DOI: 10.1134/S0374064116020102

 English version: Differential Equations, 2016, 52:2, 248–257

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