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2009

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Physical Sciences and Mathematics

Georgia Southern University

Goursat problem

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On Some Differential Equations, Mekki Terbeche, Broderick O. Oluyede Jan 2009

On Some Differential Equations, Mekki Terbeche, Broderick O. Oluyede

Department of Mathematical Sciences Faculty Publications

This paper investigates Cauchy and Goursat problems for partial differential operators. Successive approximation techniques for partial differential equations and the estimated results are employed to obtain the existence and the uniqueness of the solutions of such problems. An extended Darboux-Goursat-Beudon problem is studied.

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