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A strong solution of a high-order mixed type partial differential equation with integral conditions
Authors:A.L. Marhoune
Affiliation:Laboratoire Equations Différentielles, Département de Mathematiques , Université Mentouri Constantine , Constantine, Algeria
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.
Keywords:integral boundary conditions  energy inequalities  equation of mixed type
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