Periodic solutions of the quasilinear equation of forced vibrations of an inhomogeneous string


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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.

About the authors

I. A. Rudakov

Bauman Moscow State Technical University

Author for correspondence.
Email: rudakov_bgu@mail.ru
Russian Federation, Moscow

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