Аннотация:
For an entirely non-selfadjoint operator with spectrum at zero, the imaginary component of which has an absolutely continuous spectrum (not necessarily dissipative and having lacunas in the spectrum), triangular and functional models are constructed.
Ключевые слова и фразы:
triangular model, simple spectrum, colligation, functional model.
Поступила в редакцию: 09.09.2013 Исправленный вариант: 26.12.2014
Образец цитирования:
R. Hatamleh, V. A. Zolotarev, “On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component”, Журн. матем. физ., анал., геом., 11:2 (2015), 174–186
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\by R.~Hatamleh, V.~A.~Zolotarev
\paper On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component
\jour Журн. матем. физ., анал., геом.
\yr 2015
\vol 11
\issue 2
\pages 174--186
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\crossref{https://doi.org/10.15407/mag11.02.174}
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag615
https://www.mathnet.ru/rus/jmag/v11/i2/p174
Эта публикация цитируется в следующих 8 статьяx:
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Alaa Al-Wadi, Rania Saadeh, Ahmad Qazza, Iqbal M. Batiha, “Mittag-Leffler Functions and the Sawi Transform: A New Approach to Fractional Calculus”, WSEAS TRANSACTIONS ON MATHEMATICS, 23 (2024), 827
Rania Saadeh, Ahmad Qazza, Abdelilah Kamal Sedeeg, “A Generalized Hybrid Method for Handling Fractional Caputo Partial Differential Equations via Homotopy Perturbed Analysis”, WSEAS TRANSACTIONS ON MATHEMATICS, 22 (2023), 988
Hamzeh Zureigat, Shrideh Al-Omari, Mohammed Al-Smadi, Shaher Momani, 2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023, 1
Belal Batiha, “Solving One Species Lotka–volterra Equation by the New Iterative Method (NIM)”, WSEAS TRANSACTIONS ON MATHEMATICS, 22 (2023), 324
Belal Batiha, Firas Ghanim, O. Alayed, Ra'ed Hatamleh, Ahmed Salem Heilat, Hamzeh Zureigat, Omar Bazighifan, Attila Gil nyi, “Solving Multispecies Lotka–Volterra Equations by the Daftardar-Gejji and Jafari Method”, International Journal of Mathematics and Mathematical Sciences, 2022 (2022), 1
Heilat A.S., Zureigat H., Hatamleh Ra'ed, Batiha B., “A New Spline Method For Solving Linear Two-Point Boundary Value Problems”, Eur. J. Pure Appl Math., 14:4 (2021), 1283–1294
V. N. Levchuk, “On one class of non-dissipative operators”, Журн. матем. физ., анал., геом., 13:2 (2017), 173–194