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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

First order maximally dissipative singular differential operators

Pembe İpek Al(Karadeniz Technical University)0000-0002-6111-1121
Zameddin Ismaılov(Karadeniz Technical University)0000-0001-5193-5349
Pages
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Publication Date
2020-06-30
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AI Summary & Key Takeaways

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

Finally, the results are supported by an application.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, using the Calkin-Gorbachuk method, the general form of all maximal dissipative extensions of the minimal operator generated by first order linear multipoint symmetric singular differential-operator expression in the direct sum of Hilbert space of vector-functions has been found.
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Key Findings & Data:Later on, the structure of spectrum of these extensions is researched.
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Conclusion & Impact:Finally, the results are supported by an application.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Dissipative differential operator · selfadjoint differential operator · deficiency index

Abstract

In this paper, using the Calkin-Gorbachuk method, the general form of all maximal dissipative extensions of the minimal operator generated by first order linear multipoint symmetric singular differential-operator expression in the direct sum of Hilbert space of vector-functions has been found. Later on, the structure of spectrum of these extensions is researched. Finally, the results are supported by an application.

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Cite This Article

Al, P. İ., Ismaılov, Z. (2020). First order maximally dissipative singular differential operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.643349

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References (9)

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