KaydedilenlerDerginizi ekleyin

Dergiler / 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
Sayfa
137–146
Yayın Tarihi
2016-02-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Later structure of the spectrumof these extensions is investigated

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:Later structure of the spectrumof these extensions is investigated
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. J.von Neumann, Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren, Math. Ann., 1929-1930, 102, p.49-131.
  2. N. Dunford, J. T. Schwartz, Linear Operators I; II, Second ed., Interscience, New York, 1958
  3. V. I. Gorbachuk, M. L. Gorbachuk, Boundary value problems for operator-diğerential equa- tions, First ed., Kluwer Academic Publisher, Dordrecht, 1991.
  4. F.S. Rofe-Beketov, A.M. Kholkin, Spectral Analysis of Diğerential Operators, World Scien- ti…c Monograph Series in Mathematics, 2005, v.7. V.I. Gorbachuk, M.L. Gorbachuk, Boundary Value Problems for a First Order Diğerential Operator with Operator Coe¢ cients and Expansion in the Eigen functions of that Equation, Dokl. Akad. Nauk SSSR, 1973, 208, p.1268-1271.
  5. M.A. Naimark, Linear Diğerential Operators, Ungar, New York, 1968.
  6. W.N. Everitt, A. Zettl, Diğerential Operators Generated by a Countable Number of Quasi- Diğerential Expressions on the Real Line, Proc. London Math. Soc., 1992, 64, p.524-544.
  7. A. Zettl, Sturm-Liouville Theory, Amer. Math. Soc., Mathematical Survey and Monographs, Rhode Island, 2005, v.121. E. Bairamov, R. Öztürk Mert, Z. Ismailov, Selfadjoint extensions of a singular diğerential operator, J. Math. Chem., 2012, 50, p.1100-1110.
  8. Z. I. Ismailov, Selfadjoint extensions of multipoint singular diğerential operators, Electr. Journal of Diğ. Equat., 2013, no.231, p.1-13.
  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]