RUS  ENG
Full version
JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive
Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2016 Volume 8, Issue 1, Pages 13–18 (Mi vyurm283)
Mathematics

About the unsolvability of Schwarz's task for some types of matrices

V. G. Nikolaev

Federal State-Funded Educational Institution of Higher Vocational Education “Yaroslav-the-Wise Novgorod State University”, Novgorod, Russia

Abstract: The task of Schwarz is considered for 2-vector functions, being analytic in a circle by Douglis. It is proved that for some types of matrices and boundary analytic functions the task has no solutions. The example is given.

Keywords: holomorphic function; analytic continuability; matrix; eigenvector; region; Lyapunov contour.

UDC: 517.95

Received: 20.11.2015

DOI: 10.14529/mmph160102



Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024