Document Type : Original Article
Departement of mathematics University Mentouri Constantine 1., Algeria.
Department of Mathematics and Computer science, Oum El Bouaghi University, Algeria
In this paper, we establish sufficient conditions for the the existence, uniqueness, and continuous dependence of generalized solution of a semi-linear pseudo-parabolic problem with Neumann condition and integral boundary condition of first type. The results are by the application of the method based on a priori estimate "energy inequality" and the finite element method based on the Faedo-Galerkin technique.