This article is cited in 11 papers

Periodic solutions of the quasilinear beam vibration equation with homogeneous boundary conditions

I. A. Rudakov

I. G. Petrovsky Bryansk State University

Abstract: We prove the existence of infinitely many time-periodic solutions of the quasilinear beam vibration equation with homogeneous boundary conditions for the case in which the nonlinear term has power-law growth. We also prove the existence of at least one periodic solution provided that the nonlinear term satisfies the resonance-free condition.

 English version: Differential Equations, 2012, 48:6, 820–831

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