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Turkish Journal of Mathematics

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.

DOI

10.3906/mat-2005-43

Keywords

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

First Page

767

Last Page

781

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