RUS  ENG
Full version
JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2025 Volume 18, Issue 1, Pages 51–58 (Mi jsfu1221)

On the Aris-Amundson model

Alexander M. Kytmanov, Olga V. Khodos

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: The work is devoted to the study of the real roots of the system of transcendental Aris–Amundson equations. It is shown that the number of real roots is related to the number of real roots of some entire function (resultant). The number of complex roots is investigated.

Keywords: systems of transcendental equations, resultant, simple root.

UDC: 517.55

Received: 09.09.2024
Received in revised form: 05.10.2024
Accepted: 01.11.2024

Language: English



© Steklov Math. Inst. of RAS, 2025