A generalized Riemann boundary value problem and integral convolutions equations of the first and second kinds on a finite interval [Обобщенная Краевая Задача Римана И Интегральные Уравнения В Свертках Первого И Второго Рода На Конечном Интервале] Full article
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Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2018, Volume: 15, Pages: 1651-1662 Pages count : 12 DOI: 10.33048/semi.2018.15.136 | ||
| Tags | Convolution equations; Factorization indices; Factorization of matrix functions; Problem of Markushevich; Riemann boundary value problems; Stability; Unique; ℝ-linear problem | ||
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Abstract:
In this paper we an equivalen find a connection between the generalized Riemann boundary value problem (also known under the name of the Markushevich boundary problem or the ℝ-linear problem) and convolution equation of the first and second kind on a finite interval. In addition, as a consequence of the connection of the Markushevich boundary problem and equation in convolution of the second kind, the enough conditions for the correct solvability of the Markushevich boundary problem are obtained. This article is a continuation of the author's work «On the connection between the generalized Riemann boundary value problem and the truncated Wiener-Hopf equation», Siberian Electronic Mathematical Reports, 15 (2018), 412-421. © 2018 Sobolev Institute of Mathematics.
Cite:
Voronin A.F.
A generalized Riemann boundary value problem and integral convolutions equations of the first and second kinds on a finite interval [Обобщенная Краевая Задача Римана И Интегральные Уравнения В Свертках Первого И Второго Рода На Конечном Интервале]
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.1651-1662. DOI: 10.33048/semi.2018.15.136 WOS Scopus OpenAlex
A generalized Riemann boundary value problem and integral convolutions equations of the first and second kinds on a finite interval [Обобщенная Краевая Задача Римана И Интегральные Уравнения В Свертках Первого И Второго Рода На Конечном Интервале]
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.1651-1662. DOI: 10.33048/semi.2018.15.136 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000454860200076 |
| Scopus: | 2-s2.0-85066287636 |
| OpenAlex: | W3015418738 |