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Problemy Analiza — Issues of Analysis, 2024, Volume 13(31), Issue 1, Pages 37–49
DOI: https://doi.org/10.15393/j3.art.2024.14430 (Mi pa390) 		 
On the roots of systems of transcendental equations

A. M. Kytmanov, O. V. Khodos

Siberian Federal University, 79 Svobodny pr., Krasnoyarsk, 660049, Russia
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DOI: https://doi.org/10.15393/j3.art.2024.14430
Abstract: The article is devoted to investigation of simple and multiple roots of systems of transcendental equations. It is shown that the number is related to the number of real roots of the resultant of the system. Examples for systems of equations are given.
Keywords: systems of transcendental equations, resultant, simple root, multiple root.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-936
The work was supported by the Krasnoyarsk Mathematical Center, funded by the Ministry of Education and Science of the Russian Federation as part of the activities for the creation and development of regional NSMCs (Agreement 075-02-2023-936).
Received: 10.08.2023
Revised: 28.10.2023
Accepted: 08.11.2023
Document Type: Article
UDC: 517.55
MSC: 32A05, 32A15, 32A27
Language: Russian
Citation: A. M. Kytmanov, O. V. Khodos, “On the roots of systems of transcendental equations”, Probl. Anal. Issues Anal., 13(31):1 (2024), 37–49
Citation in format AMSBIB
\Bibitem{KytKho24}
\by A.~M.~Kytmanov, O.~V.~Khodos
\paper On the roots of systems of transcendental equations
\jour Probl. Anal. Issues Anal.
\yr 2024
\vol 13(31)
\issue 1
\pages 37--49
\mathnet{http://mi.mathnet.ru/pa390}
\crossref{https://doi.org/10.15393/j3.art.2024.14430}
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