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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2018 / Volume: 67 Issue: 2

SELFADJOINT SINGULAR DIFFERENTIAL OPERATORS FOR FIRST ORDER

Pembe İpek
İ.zameddin Ismaılov
Pages
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Publication Date
2018-08-01
DOI
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AI Summary & Key Takeaways

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

Finally, the structure of spectrum set of such extensions is researched

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The parametrization of all selfadjoint extensions of the minimal operator generated by frst order linear symmetric singular differential-operator expression in the Hilbert space of vector-functions defined at the right semi-axis has been given.
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Key Findings & Data:To this end we use the Calkin-Gorbachuk method.
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Conclusion & Impact:Finally, the structure of spectrum set of such extensions is researched
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The parametrization of all selfadjoint extensions of the minimal operator generated by frst order linear symmetric singular differential-operator expression in the Hilbert space of vector-functions defined at the right semi-axis has been given. To this end we use the Calkin-Gorbachuk method. Finally, the structure of spectrum set of such extensions is researched

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Cite This Article

İpek, P., Ismaılov, İ. (2018). SELFADJOINT SINGULAR DIFFERENTIAL OPERATORS FOR FIRST ORDER. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 67 Issue: 2. https://ajindex.com/articles/1470054

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  12. Current address: Pembe IPEK: Institute of Natural Sciences, Karadeniz Technical University,, Trabzon, Turkey E-mail address: [email protected] ORCID Address: Current address: Zameddin I. ISMAILOV: Institute of Natural Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey
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  16. Zettl, A and Sun, J., Survey Article: Self-Adjoint ordinary diğerential operators and their spectrum. Roky Mountain Journal of Mathematics (2015); 45,1: 763-886.
  17. Current address: Pembe IPEK: Institute of Natural Sciences, Karadeniz Technical University,, Trabzon, Turkey E-mail address: [email protected] ORCID Address: Current address: Zameddin I. ISMAILOV: Institute of Natural Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey