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On a class of the third-order Holder matrix-functions admitting an effective factorization
https://doi.org/10.26907/0021-3446-2025-11-29-41
Abstract
A homogeneous linear conjugation problem on a closed contour is considered for a three-dimensional piecewise analytic vector. To each of its solutions there corresponds a triple of functions that are the ratios of the boundary values on the contour of the respective components of this solution. Relations are given that connect the elements of the H-continuous matrix-function of the problem and ensure the existence of two of its solutions for which the corresponding components of the associated triples differ by rational factors, while the problem itself admits a closed-form solution.
About the Author
S. N. Kiyasov
Kazan Federal University
Russian Federation
Russian Federation
Sergey N. Kiyasov
18 Kremlyovskaya str., Kazan, 420008
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Review
For citations:
Kiyasov S.N. On a class of the third-order Holder matrix-functions admitting an effective factorization. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2025;(11):29-41. (In Russ.) https://doi.org/10.26907/0021-3446-2025-11-29-41
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