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

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Автор: Nikolaev V.G.

Журнал: Вестник Южно-Уральского государственного университета. Серия: Математика. Механика. Физика @vestnik-susu-mmph

Статья в выпуске: 1 т.8, 2016 года.

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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.

Holomorphic function, matrix, region, lyapunov contour, analytic continuability, eigenvector

Короткий адрес: https://sciup.org/147158885

IDR: 147158885 | DOI: 10.14529/mmph160102

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