First order maximally dissipative singular differential operators

Authors : Pembe İPEK AL, Zameddin ISMAILOV

Pages : 929-940

Doi:10.31801/cfsuasmas.643349

View : 12 | Download : 8

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