Electron. J. Diff. Eqns., Vol. 2000(2000), No. 60, pp. 1-10

High-order mixed-type differential equations with weighted integral boundary conditions

M. Denche & A. L. Marhoune

Abstract:
In this paper, we prove the existence and uniqueness of strong solutions for high-order mixed-type problems with weighted integral boundary conditions. The proof uses energy inequalities and the density of the range of the operator generated.

Submitted March 27, 2000. Published September 21, 2000.
Math Subject Classifications: 35B45, 35G10, 35M10.
Key Words: Integral boundary condition, energy inequalities, equation of mixed type.

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Mohamed Denche
Institut de Mathematiques
Universit\'{e} Mentouri Constantine
25000 Constantine, Algeria
e-mail: m_denche@hotmail.com
A. L. Marhoune
Institut de Mathematiques
Universit\'{e} Mentouri Constantine
25000 Constantine, Algeria

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