To the solution of coefficient inverse problems with high-order overdetermination conditions

K. R. Aida-zade^ab, V. M. Abdullayev<sup>cabd

a</sup> Institute of Control Systems of Ministry of Science and Education of Republic of Azerbaijan, 9 B. Vahabzade str., Baku, AZ1141 Republic of Azerbaijan
^b Azerbaijan Architecture and Construction University, 11 A. Sultanova str., Baku, AZ1073 Republic of Azerbaijan
^c Azerbaijan State Oil and Industry University, 20 Azadlyg Ave., Baku, AZ1010 Republic of Azerbaijan
^d Western Caspian University, 31 Istiglaliyyat str., Baku, AZ1001 Republic of Azerbaijan

Abstract: We consider the problem of identifying the constant parameters involved in the right-hand sides of a linear non-autonomous system of differential equations with first-order ordinary derivatives. The specificity of the problem lies in the fact that additional conditions for identifying the unknown parameters, firstly, are nonlocal, and secondly, they include derivatives of an unknown function. The work examines the conditions for existence and uniqueness of a solution to the problem, and proposes two different approaches to the numerical solution of the problem. The results of computer experiments are presented.

Keywords: dynamic system, parametric identification, loaded differential equation, conditions for the existence of a solution, computer experiment.

UDC: 519.622

Received: 24.03.2024
Revised: 24.03.2024
Accepted: 26.06.2024

DOI: 10.26907/0021-3446-2025-5-3-25