This article is cited in 8 papers

Periodic solutions of a non-linear wave equation with homogeneous boundary conditions

I. A. Rudakov

M. V. Lomonosov Moscow State University

Abstract: We prove the existence of time-periodic solutions of a non-linear wave equation with homogeneous boundary conditions. The non-linear term either has polynomial growth or satisfies a “non-resonance” condition.

UDC: 517.946

Received: 29.01.2004

DOI: 10.4213/im563

 English version: Izvestiya: Mathematics, 2006, 70:1, 109–120

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