International Journal of Mathematics and Mathematical Sciences 
Volume 26 (2001), Issue 7, Pages 417-426
doi:10.1155/S0161171201004379

Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type

M. Denche and A. L. Marhoune

 Institut de Mathématiques, Université Mentouri Constantine, Constantine 25000, Algeria
Received 7 January 2000

Abstract

We study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem.