Document Type : Original Article

Authors

• TAKI EDDINE OUSSAEIF ¹
• SIHEM BENAMIRA ²

¹ UNIUVERSITY OUM EL BOUAGHI

² University Mentouri Constantine 1. Algeria

Abstract

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.

Keywords

• Nonlocal conditions
• finite element method
• A priori estimates
• Non-Classical Space
• Existence
• Uniqueness