Scattering and Characteristic Functions of a Dissipative Operator Generated by a System of Equations
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Tubitak Scientific & Technological Research Council Turkey
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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

OpenCitations Citation Count
N/A
Source
TURKISH JOURNAL OF MATHEMATICS
Volume
45
Issue
6
Start Page
2688
End Page
2702
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Citations
Scopus : 0
Web of Science™ Citations
1
checked on Feb 23, 2026
Page Views
4
checked on Feb 23, 2026
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