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On Linearly Independent Solutions of the Homogeneous Schwarz Problem

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Abstract

We study the homogeneous Schwarz problem for Douglis analytic functions. We consider two-dimensional matrices J with a multiple eigenvalue and a eigenvector, which is not proportional to a real vector. We obtain a sufficient condition for the matrix J under which there exist two linearly independent solutions of the problem defined in a certain domain D. We present an example.

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Authors and Affiliations

  1. Yaroslav-the-Wise Novgorod State University, Veliky Novgorod, Russia

    V. G. Nikolaev

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  1. V. G. Nikolaev
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Correspondence to V. G. Nikolaev.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 160, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS’17, Saint Petersburg, July 24–28, 2017, 2019.

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Nikolaev, V.G. On Linearly Independent Solutions of the Homogeneous Schwarz Problem. J Math Sci 257, 95–104 (2021). https://doi.org/10.1007/s10958-021-05473-5

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  • DOI: https://doi.org/10.1007/s10958-021-05473-5

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