First order maximally dissipative singular differential operators | Zendy

Pembe İpek Al | Zendy; Zameddin I. İsmailov | Zendy

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First order maximally dissipative singular differential operators

Author(s) -

Pembe İpek Al,

Zameddin I. İsmailov

Publication year - 2019

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.5136124

Subject(s) - mathematics , dissipative operator , dissipative system , hilbert space , differential operator , operator (biology) , order (exchange) , spectrum (functional analysis) , mathematical analysis , pure mathematics , physics , biochemistry , chemistry , finance , repressor , quantum mechanics , transcription factor , economics , gene

In this paper, using the Calkin-Gorbachuk method, the general form of all maximal dissipative extensions of the minimal operator generated by first order linear multipoint symmetric singular differential-operator expression in the direct sum of Hilbert space of vector-functions has been found. Later on, the structure of spectrum of these extensions is researched. Finally, the results are supported by an application.

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