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.
Fifth-order boundary value problem, characteristic matrix, completeness theorem
UĞURLU, EKİN and TAŞ, KENAN
"On a fifth-order nonselfadjoint boundary value problem,"
Turkish Journal of Mathematics: Vol. 45:
2, Article 9.
Available at: https://journals.tubitak.gov.tr/math/vol45/iss2/9