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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2016 / Cilt: 65 - Sayı: 1

On the spectrums of some class of selfadjoint singular differential operators

İ.zameddin ISMAILOV
Bülent YILMAZ
Rukiye ÖZTÜRK MERT
Pages
137–146
Publication Date
2016-02-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Later structure of the spectrumof these extensions is investigated

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:Later structure of the spectrumof these extensions is investigated
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Everitt-Zettl and Calkin-Gorbachuk methods · singular multipoint · diğerential 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

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Cite This Article

ISMAILOV, İ., YILMAZ, B., MERT, R. Ö. (2016). On the spectrums of some class of selfadjoint singular differential operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 65 - Sayı: 1, 137–146. https://ajindex.com/articles/747331

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References (10)

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  9. Z. I. Ismaılov, M. Sertbas, E. Otkun Cevik, Selfadjoint Extentions of a First Order Diğerential Operator, Appl. Math. Inf. Sci. Lett., 2015, 3, no.2, 39-45.
  10. E. Bairamov, M. Sertbas, Z. I. Ismailov, Self-adjoint extensions of singular third-order diğerential operator and applications, AIP Conference Proceeding, 2014, 1611, 177; doi: 1063/1.4893826. Current address: Zameddin I. ISMAILOV, Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey E-mail address: [email protected] Current address: Bülent YILMAZ, Department of Mathematics, Marmara University, 34722 Kadıköy Istanbul, Turkey E-mail address: [email protected] Current address: Rukiye ÖZTÜRK MERT, Department of Mathematics, Art and Science Faculty, Hitit University, 19030, Çorum, Turkey E-mail address: [email protected]