On conditions for the well-posed solvability of a factorization problem and a class of truncated Wiener—Hopf equations | Sciact - Система учета научной деятельности ИМ СО РАН

On conditions for the well-posed solvability of a factorization problem and a class of truncated Wiener—Hopf equations Научная публикация

Журнал

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Вых. Данные

Год: 2024, Том: 18, Номер: 3, Страницы: 575–582 Страниц : 8 DOI: 10.1134/S1990478924030177

Ключевые слова

Wiener algebra, factorization problem, partial index, truncated Wiener–Hopf equation

Авторы

Voronin A.F. ¹

Организации

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0009

This paper continues the study of the relationship between the convolution equation of the second kind on a finite interval (0,τ) (which is also called the truncated Wiener–Hopf equation) and a factorization problem (which is also called a vector Riemann–Hilbert boundary value problem or a vector Riemann boundary value problem). The factorization problem is associated with a family of truncated Wiener–Hopf equations depending on the parameter τ ∈ (0,∞). The well-posed solvability of this family of equations is shown depending on the existence of a canonical factorization of some matrix function. In addition, various possible applications of the factorization problem and truncated Wiener–Hopf equations are considered.

Voronin A.F.
On conditions for the well-posed solvability of a factorization problem and a class of truncated Wiener—Hopf equations
Journal of Applied and Industrial Mathematics. 2024. V.18. N3. P.575–582. DOI: 10.1134/S1990478924030177 Scopus РИНЦ OpenAlex

Воронин А.Ф.
Об условиях корректной разрешимости одной задачи факторизации и одного класса усечённых уравнений Винера—Хопфа
Сибирский журнал индустриальной математики. 2024. Т.27. №3. С.26–35. DOI: 10.33048/SIBJIM.2024.27.303 РИНЦ

Поступила в редакцию:	21 янв. 2024 г.
Принята к публикации:	22 мая 2024 г.
Опубликована в печати:	1 дек. 2024 г.
Опубликована online:	1 дек. 2024 г.

Scopus:	2-s2.0-85211236464
РИНЦ:	75143777
OpenAlex:	W4404901190

Пока нет цитирований