Journal of Applied Mathematics and Stochastic Analysis 
Volume 16 (2003), Issue 1, Pages 69-79
doi:10.1155/S1048953303000054

Mixed problem with integral boundary condition for a high order mixed type partial differential equation

M. Denche and A. L. Marhoune

 Université Mentouri Constantine, Institut de Mathematiques, Constantine 25000, Algeria
Received 1 April 2000; Revised 1 March 2002

Abstract

In this paper, we study a mixed problem with integral boundary conditions for a high order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on energy inequality, and on the density of the range of the operator generated by the considered problem.