Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 115, pp. 1-18.

Title: Solution to a semilinear pseudoparabolic problem 
       with integral conditions

Authors: Abdelfatah Bouziani (Centre Univ. Larbi Ben M'hidi, Algeria)
         Nabil Merazga       (Centre Univ. Larbi Ben M'hidi, Algeria)
	 
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.