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On a fifth-order nonselfadjoint boundary value problem

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2021

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Tubitak Scientific & Technological Research Council Turkey

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Matematik
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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. 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

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Tas, Kenan/0000-0001-8173-453X; Ugurlu, Ekin/0000-0002-0540-8545

Keywords

Fifth-Order Boundary Value Problem, Characteristic Matrix, Completeness Theorem

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Uğurlu, Ekin; Taş, Kenan (2021). "On a fifth-order nonselfadjoint boundary value problem", Turkish Journal of Mathematics, Vol. 45, No. 2, pp. 767-781.

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45

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2

Start Page

767

End Page

781