Electron. J. Diff. Equ., Vol. 2016 (2016), No. 21, pp. 1-9.

Selfadjoint singular differential operators of first order and their spectrum

Zameddin I. Ismailov, Pembe Ipek

Abstract:
Based on Calkin-Gorbachuk method, we describe all selfadjoint extensions of the minimal operator generated by linear multipoint singular symmetric differential-operator, as a direct sum of weighted Hilbert space of vector-functions. Another approach to the investigation of this problem has been done by Everitt, Zettl and Markus. Also we study the structure of spectrum of these extensions.

Submitted August 25, 2015. Published January 12, 2016.
Math Subject Classifications: 47A10, 47B38.
Key Words: Singular Selfadjoint differential operator; spectrum.

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Zameddin I. Ismailov
Karadeniz Technical University
Department of Mathematics
61080, Trabzon, Turkey
email: zameddin.ismailov@gmail.com
Pembe Ipek
Karadeniz Technical University
Department of Mathematics
61080, Trabzon, Turkey
email: ipekpembe@gmail.com

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