Functional Model of Dissipative Fourth Order Differential Operators

Autor:	Tuna Hüseyin
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	dilation dissipative operator completeness of the system of eigenvectors and associated vectors scattering matrix functional model characteristic function Mathematics QA1-939
Zdroj:	Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 21, Iss 2, Pp 237-252 (2013)
Druh dokumentu:	article
ISSN:	1844-0835
DOI:	10.2478/auom-2013-0036
Popis:	In this paper, maximal dissipative fourth order operators with equal deficiency indices are investigated. We construct a self adjoint dilation of such operators. We also construct a functional model of the maximal dissipative operator which based on the method of Pavlov and define its characteristic function. We prove theorems on the completeness of the system of eigenvalues and eigenvectors of the maximal dissipative fourth order operators.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7b3c0a1cb526472292c0bb5fa3e816f6 Zobrazit plný text záznamu View record in DOAJ