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October  2008, 20(4): 767-800. doi: 10.3934/dcds.2008.20.767

Existence of periodic solutions of a system of damped wave equations in thin domains

Bouthaina Abdelhedi 1,

1. 

Département de Mathématiques, Université Paris-Sud, Bat.425, F-91405, France

Received  August 2006 Revised  August 2007 Published  January 2008

We prove the persistence of the existence of a time-periodic solution both in the non-autonomous and autonomous cases for a system of damped wave equations in a thin domain. The methods used are a combination of a refined version of the fixed point theorem and a functional characterization of periodic solutions.
Keywords: perturbation, thin domains, periodic solutions., system of damped wave equations.
Mathematics Subject Classification: 35L70, 35L05, 34K13, 35B10, 35B2.
Citation: Bouthaina Abdelhedi. Existence of periodic solutions of a system of damped wave equations in thin domains. Discrete & Continuous Dynamical Systems, 2008, 20 (4) : 767-800. doi: 10.3934/dcds.2008.20.767
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