Multipoint selfadjoint quasi-differential operators for first order

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
Multipoint selfadjoint quasi-differential operators for first order

Multipoint selfadjoint quasi-differential operators for first order

Authors : Rukiye ÖZTÜRK MERT, Bülent YILMAZ, Zameddin İ ISMAİLOV

Pages : 964-972

Doi:10.31801/cfsuasmas.501414

View : 16 | Download : 10

Publication Date : 2019-02-01

Article Type : Research Paper

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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