Multipoint selfadjoint quasi-differential operators for first order

Year 2019, Volume: 68 Issue: 1, 964 - 972, 01.02.2019

Rukiye Öztürk Mert Bülent Yılmaz , Zameddin İ. Ismailov

https://doi.org/10.31801/cfsuasmas.501414

Abstract

In the present paper, the aim is to described all selfadjoint extensions of the minimal operator generated by first order linear symmetric multipoint quasi-differential operator expression in the direct sum of weighted Hilbert spaces of vector-functions defined at the semi-infinite intervals by using the Calkin-Gorbachuk method. We have also examine the structure of the spectrum of such extensions.

Keywords

Symmetric and selfadjoint differential operators, multipoint quasi-differential expression, deficiency indices, spectrum

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