Extensions of a Minimal Third-Order Formally Symmetric Operator
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Top 10%
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
Scopus Q
OpenCitations Citation Count
6
Volume
43
Issue
1
Start Page
453
End Page
470
PlumX Metrics
Citations
CrossRef : 1
Scopus : 10
Captures
Mendeley Readers : 1
SCOPUS™ Citations
10
checked on May 29, 2026
Web of Science™ Citations
9
checked on May 29, 2026
Google Scholar™
