Mixed nonlocal problem for a nonlinear singular hyperbolic equation |
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| Authors: | Said Mesloub |
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| Affiliation: | 1. Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;2. Permanent address: Departement de Mathematiques, Universite' de Cheikh Larbi Tebessi, Tebessa 12001, Algeria |
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| Abstract: | In this paper, we study a nonlocal mixed problem for a nonlinear hyperbolic equation. Based on some a priori estimates and some density arguments, we prove the well posedness of the associated linear problem. The existence and uniqueness of the weak solution of the nonlinear problem are then established by applying an iterative process based on the obtained results for the linear problem. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear hyperbolic equation nonlocal condition a priori estimate Bessel operator iterative method |
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