Contribution to the General Linear Conjugation Problem for A Piecewise Analytic Vector
- Autores: Kiyasov S.1
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Afiliações:
- Kazan (Volga Region) Federal University
- Edição: Volume 59, Nº 2 (2018)
- Páginas: 288-294
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171773
- DOI: https://doi.org/10.1134/S003744661802012X
- ID: 171773
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Resumo
Establishing an analogy between the theories of Riemann–Hilbert vector problem and linear ODEs, for the n-dimensional homogeneous linear conjugation problem on a simple smooth closed contour Γ partitioning the complex plane into two domains D+ and D− we show that if we know n−1 particular solutions such that the determinant of the size n−1 matrix of their components omitting those with index k is nonvanishing on D+ ∪ Γ and the determinant of the matrix of their components omitting those with index j is nonvanishing on Γ ∪ D− {∞}, where \(k,j = \overline {1,n} \), then the canonical system of solutions to the linear conjugation problem can be constructed in closed form.
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Sobre autores
S. Kiyasov
Kazan (Volga Region) Federal University
Autor responsável pela correspondência
Email: Sergey.Kijasov@kpfu.ru
Rússia, Kazan