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Global solutions for a nonlinear hyperbolic equation with boundary memory source term

Abstract

We study a nonlinear hyperbolic equation with boundary memory source term. By the use of Galerkin procedure, we prove the global existence and the decay property of solution.

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Correspondence to Fuqin Sun.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Sun, F., Wang, M. Global solutions for a nonlinear hyperbolic equation with boundary memory source term. J Inequal Appl 2006, 60734 (2006). https://doi.org/10.1155/JIA/2006/60734

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