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Journals / Hittite Journal of Science and Engineering / 2019 / Cilt: 6 - Sayı: 1

Selfadjoint Singular Quasi-Differential Operators of First Order

Pembe İPEK AL
Zameddin I. ISMAİLOV
Pages
31–35
Publication Date
2022-10-18
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

In this work, using the Calkin-Gorbachuk method firstly all selfadjoint extensions of theminimal operator generated by first order linear singular quasi-differential expressionin the weighted Hilbert space of vector-functions on right semi-axis have been described.Lastly, the structure of the spectrum set of these extensions has been investigated.

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Objective & Hypothesis:In this work, using the Calkin-Gorbachuk method firstly all selfadjoint extensions of theminimal operator generated by first order linear singular quasi-differential expressionin the weighted Hilbert space of vector-functions on right semi-axis have been described.Lastly, the structure of the spectrum set of these extensions has been investigated.
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Key Findings & Data:In this work, using the Calkin-Gorbachuk method firstly all selfadjoint extensions of theminimal operator generated by first order linear singular quasi-differential expressionin the weighted Hilbert space of vector-functions on right semi-axis have been described.Lastly, the structure of the spectrum set of these extensions has been investigated.
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Conclusion & Impact:In this work, using the Calkin-Gorbachuk method firstly all selfadjoint extensions of theminimal operator generated by first order linear singular quasi-differential expressionin the weighted Hilbert space of vector-functions on right semi-axis have been described.Lastly, the structure of the spectrum set of these extensions has been investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, using the Calkin-Gorbachuk method firstly all selfadjoint extensions of theminimal operator generated by first order linear singular quasi-differential expressionin the weighted Hilbert space of vector-functions on right semi-axis have been described.Lastly, the structure of the spectrum set of these extensions has been investigated.

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Cite This Article

AL, P. İ., ISMAİLOV, Z. I. (2022). Selfadjoint Singular Quasi-Differential Operators of First Order. Hittite Journal of Science and Engineering, Cilt: 6 - Sayı: 1, 31–35. https://ajindex.com/articles/537994

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