Homogeneous Hilbert boundary-value problem with several points of turbulence
- Авторы: Fatykhov A.1, Salimov R.1, Shabalin P.1
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Учреждения:
- Kazan State University of Architecture and Engineering
- Выпуск: Том 38, № 3 (2017)
- Страницы: 414-419
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199195
- DOI: https://doi.org/10.1134/S199508021703009X
- ID: 199195
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Аннотация
We consider Riemann–Hilbert boundary value problem with infinite index in unit disk. Its coefficient is Hölder-continuous everywhere on the unit circle excluding a finite set of points, where its argument has power discontinuities of order less one. The present article is the first research of this version of Hilbert boundary-value problem with infinite index. We obtain formulas for its general solution, investigate existence ad uniqueness of solutions, and describe the set of solutions in the case of non-uniqueness. Our technique is based on theory of entire functions and geometric theory of functions.
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Об авторах
A. Fatykhov
Kazan State University of Architecture and Engineering
Автор, ответственный за переписку.
Email: vitofat@gmail.com
Россия, ul. Zelenaya 1, Kazan, 420043
R. Salimov
Kazan State University of Architecture and Engineering
Email: vitofat@gmail.com
Россия, ul. Zelenaya 1, Kazan, 420043
P. Shabalin
Kazan State University of Architecture and Engineering
Email: vitofat@gmail.com
Россия, ul. Zelenaya 1, Kazan, 420043