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Journal of Siberian Federal University. Mathematics & Physics, 2024, Volume 17, Issue 3, Pages 326–333 (Mi jsfu1162)  
This article is cited in 1 scientific paper (total in 1 paper)

On the real roots of systems of transcendental equations

Alexander M. Kytmanov, Olga V. Khodos

Siberian Federal University, Krasnoyarsk, Russian Federation
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Abstract: The work is devoted to finding the number of real roots of systems of transcendental equations. It is shown that if a system has simple roots, then the number of real coordinates of the roots is the same. Therefore, the number of real roots is related with the number of real roots of the resultant of the system.
Keywords: system of transcendental equations, resultant, residue integral.
Funding agency Grant number
Russian Science Foundation 24-21-00023
This work was supported by the Russian Science Foundation (Agreement No. 24-21-00023).
Received: 29.09.2022
Received in revised form: 13.01.2024
Accepted: 25.02.2024
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: Alexander M. Kytmanov, Olga V. Khodos, “On the real roots of systems of transcendental equations”, J. Sib. Fed. Univ. Math. Phys., 17:3 (2024), 326–333
Citation in format AMSBIB
\Bibitem{KytKho24}
\by Alexander~M.~Kytmanov, Olga~V.~Khodos
\paper On the real roots of systems of transcendental equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2024
\vol 17
\issue 3
\pages 326--333
\mathnet{http://mi.mathnet.ru/jsfu1162}
\edn{https://elibrary.ru/HKGXLG}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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