KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 2

Dissipative canonical type differential operators for first order

Pembe İPEK AL
Zameddin I. ISMAILOV
Rukiye ÖZTÜRK MERT
Sayfa
481–490
Yayın Tarihi
2022-11-05
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)

Also, the spectrum set of these extensions has beeninvestigated.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, using the Calkin-Gorbachuk method, the general form of all maximally dissipative extensionsof the minimal operator generated by the first order linear symmetric canonical type quasi-differential expression inthe weighted Hilbert space of vector functions has been found.
📊
Temel Bulgular & Veri:In this paper, using the Calkin-Gorbachuk method, the general form of all maximally dissipative extensionsof the minimal operator generated by the first order linear symmetric canonical type quasi-differential expression inthe weighted Hilbert space of vector functions has been found.
💡
Sonuç & Katkı:Also, the spectrum set of these extensions has beeninvestigated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, using the Calkin-Gorbachuk method, the general form of all maximally dissipative extensionsof the minimal operator generated by the first order linear symmetric canonical type quasi-differential expression inthe weighted Hilbert space of vector functions has been found. Also, the spectrum set of these extensions has beeninvestigated.

🔖

Bu Makaleye Atıf Yap

AL, P. İ., ISMAILOV, Z. I., MERT, R. Ö. (2022). Dissipative canonical type differential operators for first order. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 2, 481–490. https://ajindex.com/articles/607564

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (11)

  1. Behrndt J, Hassi S, Snoo H, Wietsma R. Square-integrable solutions and Weyl functions for singular canonical systems. Mathematische Nachrichten 2001; 284: 1334-1384
  2. Behrndt J, Malamud M, Neidhardt H. Scattering theory for open quantum systems with finite rank coupling. Mathematical Physics, Analysis and Geometry 2007; 10: 313-358
  3. Derkach V, Malamud M. Generalized resolvents and the boundary value problems for Hermitian operators with gaps. Journal of Functional Analysis 1991; 95: 1-95
  4. Derkach V, Malamud M. The extension theory of Hermitian operators and the moment problem. Journal of Mathematical Sciences 1995; 73: 141-242
  5. Fischbacher C. On the theory of dissipative extensions. PhD, University of Kent School of Mathematics, Canterbury, England, 2017
  6. Gorbachuk VI, Gorbachuk ML. Boundary Value Problems for Operator Differential Equations. 1st ed. Dordrecht, the Netherlands: Kluwer Academic Publishers, 1991
  7. Hörmander L. On the theory of general partial differential operators. Acta Mathematica 1955; 94: 161-248
  8. Mogilevskii V. Boundary pairs and boundary conditions for general (not necessarily definite) first-order symmetric system with arbitrary deficiency indices. Mathematische Nachrichten 2012; 285: 1895-1931
  9. Nagy BSz, Foias C. Analyse Harmonique des Operateurs de L’ espace de Hilbert. Paris, France: Budapest Akadémiai Kiadó, 1967
  10. Naimark MA. Linear Differential Operators. New York, USA: Frederick Ungar Publishing Company, 1968
  11. Rofe-Beketov FS, Kholkin AM. Spectral analysis of differential operators. World Scientific Monograph Series in Mathematics 7; 2005. [12] von Neumann J. Allgemeine eigenwerttheories hermitescher funktionaloperatoren. Mathematische Annalen 1929- 1930; 102: 49-131 (article in German).