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

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

Journal

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

Output data

Year: 2024, Volume: 18, Number: 3, Pages: 575–582 Pages count : 8 DOI: 10.1134/S1990478924030177

Funding (1)

Sobolev Institute of Mathematics

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

Submitted:	Jan 21, 2024
Accepted:	May 22, 2024
Published print:	Dec 1, 2024
Published online:	Dec 1, 2024

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

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