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

Boundedly solvable degenerate differential operators for first order

Sayfa
68–73
Yayın Tarihi
2018-03-11
DOI
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Later on, the structure of spectrum of these type extensions will be investigated.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Later on, the structure of spectrum of these type extensions will be investigated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (5)

  1. Favini, A. and Yagi, A., Degenerate differential equations in Banach Spaces, Marcel Dekker, Inc., New-York-Basel-Hong Kong, 1999
  2. Goldstein, J. A., Semigroups of linear operators and applications, Oxford University Press, New York and Oxford, 245 pp., 1985
  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.