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Scattering and characteristic functions of a dissipative operator generated by a system of equations

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Date

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 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

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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.

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Q2

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Q2

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Volume

45

Issue

6

Start Page

2688

End Page

2702