On the spectrums of some class of selfadjoint singular differential operators

Abstract

In this work, based on the Everitt-Zettl and Calkin-Gorbachuk methods in terms of boundary values all self adjoint extensions of the minimal operator generated by some linear singular multipoint symmetric differential operator expression for first order in the direct sum of Hilbert spaces of vector functions on the right semi-axis are described. Later structure of the spectrumof these extensions is investigated

Keywords

• Everitt-Zettl and Calkin-Gorbachuk methods, singular multipoint,diğerential operators, selfadjoint extension, spectrum

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13. Current address : Zameddin I. ISMAILOV, Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey
14. E-mail address : [e-mail] Current address : Bülent YILMAZ, Department of Mathematics, Marmara University, 34722
15. Kadıköy Istanbul, Turkey E-mail address : [e-mail] Current address : Rukiye ÖZTÜRK MERT, Department of Mathematics, Art and Science Faculty, Hitit University, 19030, Çorum, Turkey
16. E-mail address : [e-mail]