Zameddin I. Ismailov
Abstract:
This article describes all selfadjoint extensions of the minimal
operator generated by a linear singular multipoint symmetric
differential-operator expression for first order in the direct sum
of Hilbert spaces of vector-functions.
This description is done in terms of the boundary values, and it uses the
Everitt-Zettl and the Calkin-Gorbachuk methods.
Also the structure of the spectrum of these extensions is studied.
Submitted September 19, 2013. Published October 18, 2013.
Math Subject Classifications: 47A10.
Key Words: Everitt-Zettl and Calkin-Gorbachuk methods; singular multipoint;
differential operators; selfadjoint extension; spectrum
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Zameddin I. Ismailov Department of Mathematics, Faculty of Sciences Karadeniz Technical University 61080, Trabzon, Turkey email: zameddin.ismailov@gmail.com |
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