Geodesic
Linear conjugation problem with a triangular matrix coefficient
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Tome 160 (2019), pp. 3-8.

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We consider a classical linear conjugation problem for analytic vector-valued functions on a piecewise smooth curve with a triangular matrix coefficient in weighted Hölder spaces. For the two-dimensional case, conditions for the existence of a solution are found, a solution of this problem is given, and the construction of the canonical matrix function is analyzed in detail.
Keywords: linear conjugation problem, weighted space, canonical function. 
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G. N. Aver'yanov; A. P. Soldatov. Linear conjugation problem with a triangular matrix coefficient. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Tome 160 (2019), pp. 3-8. http://geodesic.mathdoc.fr/item/INTO_2019_160_a0/

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