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Scattering and Characteristic Functions of a Dissipative Operator Generated by a System of Equations

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Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

Tubitak Scientific & Technological Research Council Turkey

Open Access Color

GOLD

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No

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Abstract

In this paper, we consider a system of first-order equations with the same eigenvalue parameter together with dissipative boundary conditions. Applying Lax-Phillips scattering theory and Sz.-Nagy-Foias model operator theory we prove a completeness theorem.

Description

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

Keywords

Boundary-Value Problem, Dissipative Operator, Completeness Theorem, dissipative operator, boundary value problem, Boundary eigenvalue problems for ordinary differential equations, Linear accretive operators, dissipative operators, etc., Orthogonal polynomials and functions associated with root systems, completeness theorem

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Bayram, Elgiz; Taş, Kenan; Uğurlu, Ekin (2021). "Scattering and characteristic functions of a dissipative operator generated by a system of equations", Turkish Journal of Mathematics, Vol. 45, No. 6, pp. 268-2702.

WoS Q

Q2

Scopus Q

Q2
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Source

TURKISH JOURNAL OF MATHEMATICS

Volume

45

Issue

6

Start Page

2688

End Page

2702
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1

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4

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