Representation of All Maximally Dissipative Multipoint Differential Operators for First Order

dc.contributor.authorOzturk Mert, R.
dc.date.accessioned2021-11-01T15:03:02Z
dc.date.available2021-11-01T15:03:02Z
dc.date.issued2020
dc.department[Belirlenecek]
dc.description.abstractIn this work, we consider the linear multipoint symmetric differential-operator expression for first order in the Hilbert space of vector functions defined on the left hand and right hand semi-axis. The minimal and maximal operators corresponding to this differential-operator expression are constructed. For the minimal symmetric operator, deficiency indices are computed and the triplet of boundary values is determined. Later on, the general form of maximally dissipative extensions of the minimal operator generated by considered differential-operator expression has been obtained with the use of the Calkin-Gorbachuk method. Furthermore the structure of spectrum of these type extensions is investigated. Finally, we provide an application which supports our results.
dc.identifier.doi10.1134/S199508022009019X
dc.identifier.endpage1863en_US
dc.identifier.issn1995-0802
dc.identifier.issn1818-9962
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85095614627
dc.identifier.scopusqualityQ2
dc.identifier.startpage1854en_US
dc.identifier.urihttps://doi.org/10.1134/S199508022009019X
dc.identifier.urihttps://hdl.handle.net/11491/6928
dc.identifier.volume41en_US
dc.identifier.wosWOS:000587460100028
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[Belirlenecek]
dc.language.isoen
dc.publisherMaik Nauka/Interperiodica/Springer
dc.relation.ispartofLobachevskii Journal Of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectdissipative differential operatoren_US
dc.subjectmultipoint differential operatoren_US
dc.subjectdeficiency indexen_US
dc.subjectspace of boundary valuesen_US
dc.subjectspectrumen_US
dc.titleRepresentation of All Maximally Dissipative Multipoint Differential Operators for First Order
dc.typeArticle

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