Bouziani, AbdelfatahMerazga, Nabil2021-07-202021-07-202006-09-21Bouziani, A., & Merazga, N. (2006). Solution to a semilinear pseudoparabolic problem with integral conditions. <i>Electronic Journal of Differential Equations, 2006</i>(115), pp. 1-18.1072-6691https://hdl.handle.net/10877/13988In 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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalSemilinear pseudoparabolic equationTime-discretization methodIntegral conditionGeneralized solutionArticle