TY - JOUR

T1 - Estimates of Solutions for a Class of Nonautonomous Systems of Neutral Type with Concentrated and Distributed Delays

AU - Matveeva, I. i.

N1 - This work was supported by the Russian Science Foundation, project no. 24-21-00367, https://rscf.ru/en/project/24-21-00367/.

PY - 2024/8

Y1 - 2024/8

N2 - A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established that imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.

AB - A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established that imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.

KW - Lyapunov–Krasovskii functional

KW - estimates of solutions

KW - stability

KW - systems of neutral type

KW - variable coefficients

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85205375662&origin=inward&txGid=2bd440a040b4858425564388e9f9aab9

UR - https://elibrary.ru/item.asp?id=69921029

UR - https://www.mendeley.com/catalogue/e1379860-d8dc-3f29-8792-2f2cc6fedd1b/

U2 - 10.1134/S0965542524700933

DO - 10.1134/S0965542524700933

M3 - Article

VL - 64

SP - 1796

EP - 1808

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 8

ER -