SavedAdd your journal

Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 10 - Sayı: 10

Canonical Type First Order Boundedly Solvable Differential Operators

Zameddin. I. Ismailov
Pembe İpek Al
Pages
50–55
Publication Date
2022-11-05
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Lateron, the structure of spectrum of this type extension will be investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main goal of this work is to describe of all boundedly solvable extensions of the minimal operator generated by first-order linear canonical type differential-operator expression in the weighted Hilbert space ofvector-functions at finite interval in terms of boundary conditions by using the methods of operator theory.
📊
Key Findings & Data:The main goal of this work is to describe of all boundedly solvable extensions of the minimal operator generated by first-order linear canonical type differential-operator expression in the weighted Hilbert space ofvector-functions at finite interval in terms of boundary conditions by using the methods of operator theory.
💡
Conclusion & Impact:Lateron, the structure of spectrum of this type extension will be investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The main goal of this work is to describe of all boundedly solvable extensions of the minimal operator generated by first-order linear canonical type differential-operator expression in the weighted Hilbert space ofvector-functions at finite interval in terms of boundary conditions by using the methods of operator theory. Lateron, the structure of spectrum of this type extension will be investigated.

🔖

Cite This Article

Ismailov, Z. I., Al, P. İ. (2022). Canonical Type First Order Boundedly Solvable Differential Operators. Turkish Journal of Mathematics and Computer Science, Cilt: 10 - Sayı: 10, 50–55. https://ajindex.com/articles/609197

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Dezin, A., General Problems in the Theory of Boundary Value Problems, Nauka, Moskov, 1980
  2. Favini, A., Yagi, A., Degenerate Differential Equations in Banach Spaces, Marcel Dekker, Inc., New-York-Basel-Hong Kong, 1999
  3. Goldstein, J. A., Semigroups of Linear Operators and Applications, Oxford University Press, New York and Oxford, 1985
  4. Hormander, L., ¨ On the theory of general partial differential operators, Acta. Math. 94 (1955), 162-166
  5. Kokebaev, B. K., Otelbaev, M., Shynybekov, A. N., On the theory of contraction and extension of operators I, Izv. Akad. Nauk Kazakh. SSR Ser. Fiz.-Mat. 5 (1982), 24-26 (in Russian)
  6. Kokebaev, B. K., Otelbaev, M., Shynybekov, A. N., On the theory of contraction and extension of operators II, Izv. Akad. Nauk Kazakh. SSR Ser. Fiz.-Mat. 110 (1983), 24-26 (in Russian)
  7. Kokebaev, B. K., Otelbaev, M., Shynybekov, A. N., On questions of extension and restriction of operator, Sov. Math. Dokl. 28 (1983), 259-262
  8. Pivtorak, N. I., Solvable boundary value problems for an operator-differential equations for parabolic type, Akad. Nauk. Ukr. SSR Inst. Mat. Kiev 9 (1985), 104-107 (in Russian)
  9. Vishik, M. I., On linear boundary problems for differential equations, Doklady Akad. Nauk SSSR (N.S) 65 (1949), 785-788
  10. Vishik, M. I., On general boundary problems for elliptic differential equations, Amer. Math. Soc. Transl. II 24 (1963), 107-172.