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a b s t r a c tIn this paper,we prove the existence, uniqueness and uniform stability of strong and weak solutions of the nonlinear wave equationin bounded domains with nonlinear damped boundary conditions, given bywith restrictions on function f (u), g(u t ) and b(x),. We prove the existence by means of the Glerkin method and obtain the asymptotic behavior by using of the multiplier technique from the idea of Kmornik and Zuazua (see [7]).

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