Extensions of a Minimal Third-Order Formally Symmetric Operator
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Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Malaysian Mathematical Sciences Soc
Open Access Color
Green Open Access
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Abstract
In this paper, we consider some regular boundary value problems generated by a third-order differential equation and some boundary conditions. In particular, we construct maximal self-adjoint, maximal dissipative and maximal accumulative extensions of the minimal operator. Further using Lax-Phillips scattering theory and Sz.-Nagy-Foias characteristic function theory we prove a completeness theorem.
Description
Keywords
Third-Order Operator, Extension, Dilation, Spectral Analysis, Sz.-Nagy-Foiaş characteristic functions, third order operator, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc., Scattering theory of linear operators, extension, General theory of ordinary differential operators, Linear boundary value problems for ordinary differential equations, Dilations, extensions, compressions of linear operators, spectral theory, Lax-Phillips scattering theory, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Uğurlu, Ekin. "Extensions of a Minimal Third-Order Formally Symmetric Operator", BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, Vol. 43, No. 1, pp. 453-470, (2020).
WoS Q
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OpenCitations Citation Count
6
Source
Bulletin of the Malaysian Mathematical Sciences Society
Volume
43
Issue
1
Start Page
453
End Page
470
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CrossRef : 1
Scopus : 9
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