Journals / Universal Journal of Mathematics and Applications / 2018 / Cilt: 1 - Sayı: 1

Boundedly solvable degenerate differential operators for first order

Pages
68–73
Publication Date
2018-03-11
DOI
—
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AI Summary & Key Takeaways

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

Later on, the structure of spectrum of these type extensions will be investigated.

📌 3 Key Takeaways

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Objective & Hypothesis:Using the methods of operator theory all boundedly solvable extensions of the minimal operator generated by degenerated type differential-operators expression in the weighted Hilbert space of vector-functions in finite interval in terms of boundary conditions.
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Key Findings & Data:Using the methods of operator theory all boundedly solvable extensions of the minimal operator generated by degenerated type differential-operators expression in the weighted Hilbert space of vector-functions in finite interval in terms of boundary conditions.
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Conclusion & Impact:Later on, the structure of spectrum of these type extensions will be investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Degenerate differential-operator expression · Boundedly solvable operator · Spectrum

Abstract

Using the methods of operator theory all boundedly solvable extensions of the minimal operator generated by degenerated type differential-operators expression in the weighted Hilbert space of vector-functions in finite interval in terms of boundary conditions. Later on, the structure of spectrum of these type extensions will be investigated.

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Cite This Article

İpek, P., İsmailov, Z. (2018). Boundedly solvable degenerate differential operators for first order. Universal Journal of Mathematics and Applications, Cilt: 1 - Sayı: 1, 68–73. https://ajindex.com/articles/820022

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References (5)

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  3. Hörmander L., On the theory of general partial differential operators, Acta. Math. 94, 162-166, 1955
  4. Vishik, M. I., On linear boundary problems for differential equations, Doklady Akad. Nauk SSSR (N.S) 65, 785-788, 1949
  5. Vishik, M. I., On general boundary problems for elliptic differential equations, Amer. Math. Soc. Transl. II 24, 107-172, 1963.