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