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

Maximal accretive singular quasi-differential operators

Pembe İPEK
Zameddin İ. İSMAİLOV
Sayfa
1120–1127
Yayın Tarihi
2018-10-16
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 firstly all maximal accretive extensions of the minimal operator generated by a first order linear singular quasi-differential 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 firstly all maximal accretive extensions of the minimal operator generated by a first order linear singular quasi-differential 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:Accretive operator · Quasi-differential operator · Spectrum

Abstract

In this paper firstly all maximal accretive extensions of the minimal operator generated by a first order linear singular quasi-differential 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., İSMAİLOV, Z. İ. (2018). Maximal accretive singular quasi-differential operators. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1120–1127. https://ajindex.com/articles/669421

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Kaynakça (3)

  1. Gorbachuk, V.I and Gorbachuk, M.I. Boundary Value Problems for Operator Differential Equations, Kluwer Academic Publisher, Dordrecht, 1991.
  2. Hörmander, L. On the Theory of General Partial Differential Operators, Acta Math. 94 (1), 161-248, 1955.
  3. 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.