Electron. J. Diff. Eqns., Vol. 2006(2006), No. 115, pp. 1-18.

Solution to a semilinear pseudoparabolic problem with integral conditions

Abdelfatah Bouziani, Nabil Merazga

Abstract:
In this article, we use the Rothe time-discretization method to prove the well-posedness of a mixed problem with integral conditions for a third order semilinear pseudoparabolic equation. Also we establish the convergence of the method and an error estimate for a semi-discrete approximation.

Submitted March 7, 2006. Published September 21, 2006.
Math Subject Classifications: 35K70, 35A35, 35B30, 35B45, 35D05.
Key Words: Semilinear pseudoparabolic equation; time-discretization method; integral condition; a priori estimate; generalized solution.

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Abdelfatah Bouziani
Département de Mathématiques
Centre Universitaire Larbi Ben M'hidi
Oum El Bouaghi 04000, Algeria
e-mail: af_bouziani@hotmail.com
Nabil Merazga
Département de Mathématiques
Centre Universitaire Larbi Ben M'hidi
Oum El Bouaghi 04000, Algeria
email: nabilmerazga@yahoo.fr

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