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Journals / Contemporary Analysis and Applied Mathematics / 2015 / Cilt: 3 - Sayı: 1

Birinci mertebeden maksimal sektöriyel diferensiyel operatörler

Maximal sectorial differential operators for first order

Rukiye MERT ÖZTÜRK
Zameddin I. ISMAİLOV
Pages
104–112
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

Moreover, one result for the differential operators for first order in the Hilbert space of vector functions in finite interval is obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the maximal sectorial linear relations are described.
📊
Key Findings & Data:Then, the discreteness of the spectrum of the linear maximal sectorial operators and asymptotical behavior of the eigenvalues of such operators in terms of the eigenvalues of its real part are investigated.
💡
Conclusion & Impact:Moreover, one result for the differential operators for first order in the Hilbert space of vector functions in finite interval is obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, the maximal sectorial linear relations are described. Then, the discreteness of the spectrum of the linear maximal sectorial operators and asymptotical behavior of the eigenvalues of such operators in terms of the eigenvalues of its real part are investigated. Moreover, one result for the differential operators for first order in the Hilbert space of vector functions in finite interval is obtained.

Özet

Bu çalı¸smada, ilk olarak maksimal sektöriyel lineer bağıntılar tanımlandı. Daha sonra, lineer maksimal sektöriyel operatörlerin spektrumunun ayrıklığı ve bu operatörlerin özdeğerlerinin asimptotik davranışları, operatörün reel kısmının özdeğerleri dilinde ifade edildi. Son olarak, sonlu aralıkta vektör fonksiyonların Hilbert uzayında birinci mertebeden diferensiyel operatörler için bir sonuç verildi.

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Cite This Article

ÖZTÜRK, R. M., ISMAİLOV, Z. I. (2022). Birinci mertebeden maksimal sektöriyel diferensiyel operatörler. Contemporary Analysis and Applied Mathematics, Cilt: 3 - Sayı: 1, 104–112. https://ajindex.com/articles/476442

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References (13)

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