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  • Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
  • Volume:69 Issue:1
  • First order maximally dissipative singular differential operators

First order maximally dissipative singular differential operators

Authors : Pembe İPEK AL, Zameddin ISMAILOV
Pages : 929-940
Doi:10.31801/cfsuasmas.643349
View : 39 | Download : 11
Publication Date : 2020-06-30
Article Type : Research Paper
Abstract :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.
Keywords : Dissipative differential operator, selfadjoint differential operator, deficiency index, space of boundary values, spectrum

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