Homogeneous Hilbert boundary-value problem with several points of turbulence
- Авторлар: Fatykhov A.1, Salimov R.1, Shabalin P.1
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Мекемелер:
- Kazan State University of Architecture and Engineering
- Шығарылым: Том 38, № 3 (2017)
- Беттер: 414-419
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199195
- DOI: https://doi.org/10.1134/S199508021703009X
- ID: 199195
Дәйексөз келтіру
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.
Негізгі сөздер
Авторлар туралы
A. Fatykhov
Kazan State University of Architecture and Engineering
Хат алмасуға жауапты Автор.
Email: vitofat@gmail.com
Ресей, ul. Zelenaya 1, Kazan, 420043
R. Salimov
Kazan State University of Architecture and Engineering
Email: vitofat@gmail.com
Ресей, ul. Zelenaya 1, Kazan, 420043
P. Shabalin
Kazan State University of Architecture and Engineering
Email: vitofat@gmail.com
Ресей, ul. Zelenaya 1, Kazan, 420043
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