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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

Maximal accretive singular quasi-di erential operators

Pembe İPEK
Zamedddin I. ISMAILOV
Sayfa
1120–1127
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Later on, the structure of spectrum set of these extensions has been researched.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper rstly all maximal accretive extensions of the minimal operator generated by a rst order linear singular quasi-dierential expression in the weighted Hilbert space of vector-functions on right semi-axis are described.
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Temel Bulgular & Veri:In this paper rstly all maximal accretive extensions of the minimal operator generated by a rst order linear singular quasi-dierential expression in the weighted Hilbert space of vector-functions on right semi-axis are described.
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Sonuç & Katkı:Later on, the structure of spectrum set of these extensions has been researched.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper rstly all maximal accretive extensions of the minimal operator generated by a rst order linear singular quasi-dierential expression in the weighted Hilbert space of vector-functions on right semi-axis are described. Later on, the structure of spectrum set of these extensions has been researched.

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Bu Makaleye Atıf Yap

İPEK, P., ISMAILOV, Z. I. (2022). Maximal accretive singular quasi-di erential operators. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1120–1127. https://ajindex.com/articles/529867

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Kaynakça (2)

  1. Gorbachuk, V.I and Gorbachuk, M.I. Boundary Value Problems for Operator Di erential Equations, Kluwer Academic Publisher, Dordrecht, 1991. [Hˆrmander, L. On the Theory of General Partial Di erential Operators, Acta Math. 94 (1), 161-248, 1955.
  2. Kato, T. Perturbation Theory for Linear Operators, Springer-Verlag Inc., New York, 1966, 592 pp. Levchuk, V.V. Smooth Maximally Dissipative Boundary-Value Problems for a Parabolic Equation in a Hilbert Space, Ukrainian Math. J. 35 (4), 502-507, 1983.