@article { author = {Benamira, Sihem and Oussaeif, Taki-Eddine and Bouziani, Abdalfeteh}, title = {Study a semi-linear pseudo-parabolic problem with Neumann and integral conditions by using Galerkin mixed finite element method}, journal = {Communications in Nonlinear Analysis}, volume = {8}, number = {2}, pages = {44-55}, year = {2020}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, 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}, url = {https://www.cna-journal.com/article_112711.html}, eprint = {https://www.cna-journal.com/article_112711_4f4933b70b15adc970ed8a8f28b907f8.pdf} }