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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 6
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Original Articles

A strong solution of a high-order mixed type partial differential equation with integral conditions

A.L. Marhoune Laboratoire Equations Différentielles, Département de Mathematiques, Université Mentouri Constantine, Constantine, Algeria
&
C. Latrous Laboratoire Equations Différentielles, Département de Mathematiques, Université Mentouri Constantine, Constantine, AlgeriaCorrespondence[email protected]
Pages 625-634 | Received 15 Oct 2006, Accepted 04 May 2007, Published online: 27 Jul 2010
 
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Abstract

In this article, we study a mixed problem with integral boundary conditions for a high-order partial differential equation of mixed type. We prove the existence and uniqueness of a strong solution. The proof is based on energy inequality and on the density of the range of the operator generated by the considered problem.

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