About the Unsolvability of Schwarz’s Task for Some Types of Matrices

Authors

  • Vladimir Gennadyevich Nikolaev Federal State-Funded Educational Institution of Higher Vocational Education “Yaroslav-the-Wise Novgorod State University”

Keywords:

holomorphic function, analytic continuability, matrix, eigenvector, region, Lyapunov contour

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

Author Biography

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

Leading Mathematician

Published

2016-01-27

Issue

Section

Mathematics