On the spectrums of some class of selfadjoint singular differential operators

Year 2016, Volume: 65 Issue: 1, 137 - 146, 01.02.2016

İ.zameddin Ismaılov Bülent Yılmaz Rukiye Öztürk Mert

https://doi.org/10.1501/Commua1_0000000749

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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• Current address : Zameddin I. ISMAILOV, Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey
• E-mail address : [e-mail] Current address : Bülent YILMAZ, Department of Mathematics, Marmara University, 34722
• 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
• E-mail address : [e-mail]