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

Maximal accretive singular quasi-differential operators

Pages
1120–1127
Publication Date
2018-10-16
DOI
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AI Summary & Key Takeaways

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

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

📌 3 Key Takeaways

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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact:Later on, the structure of spectrum set of these extensions has been researched.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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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References (3)

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  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.