Journal of Applied Mathematics 
Volume 2003 (2003), Issue 11, Pages 553-567
doi:10.1155/S1110757X03303031

Boundary value problem with integral conditions for a linear third-order equation

M. Denche and A. Memou

 Laboratoire Equations Différentielles, Département de Mathématiques, Faculté des Sciences, Université Mentouri, Constantine 25000, Algeria
Received 6 March 2003; Revised 29 July 2003

Abstract

We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.