Mathematics

Estimates for solution to a nonlinear system with constant coefficients in linear terms and several delays

I. I. Matveeva^a, Narekeeva Arukhan B.<sup>b

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: A class of nonlinear systems of differential equations with constant coefficients in linear terms and several delays is considered. The exponential stability of the zero solution is investigated. Estimates characterizing stabilization rates of solutions at infinity and estimates for attraction sets are established. A Lyapunov–Krasovskii functional of a special type is used for obtaining the results.

Keywords: delay differential equations, exponential stability, Lyapunov–Krasovskii functional, estimates for solutions

UDC: 517.929.4

Received: 18.09.2025
Accepted: 01.12.2025

DOI: 10.25587/2411-9326-2025-4-81-91