On a fifth-order nonselfadjoint boundary value problem

Abstract

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