On a fifth-order nonselfadjoint boundary value problem

Authors: EKİN UĞURLU, KENAN TAŞ

Abstract: In this paper we aim to share a way to impose some nonselfadjoint boundary conditions for the solutions of a formally symmetric fifth-order differential equation. Constructing a dissipative operator related with the problem we obtain some informations on spectral properties of the problem. In particular, using coordinate-free approach we construct characteristic matrix-function related with the contraction which is obtained with the aid of the dissipative operator.

Keywords: Fifth-order boundary value problem, characteristic matrix, completeness theorem

Full Text: PDF