Work

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

Year: 2025

Type: article

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.

Source: Russian Mathematics

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

Authors: K. R. Aida-zade, V. M. Abdullayev

Institutions: Ministry of Science and Education Republic of Azerbaijan, Azerbaijan University of Architecture and Construction, İdarəetmə Sistemləri İnstitutu, Azerbaijan State Oil and Industry University, Western Caspian University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4410728485

FWCI:

Cites: 17

Cited by:

Related to: 10