Estimates for solutions to one class of nonautonomous systems with time-varying concentrated and distributed delays
Matematičeskie zametki SVFU, Tome 29 (2022) no. 3, pp. 70-79
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We consider a class of nonautonomous systems of differential equations with time-varying concentrated and distributed delays than can be unbounded. Using a Lyapunov-Krasovskii functional, some estimates of solutions are established. The obtained estimates allow us to conclude whether the solutions are stable.
Keywords:
time-varying delay systems, estimates for solutions, stability, Lyapunov–Krasovskii functional.
Mots-clés : variable coefficients
Mots-clés : variable coefficients
@article{SVFU_2022_29_3_a5,
author = {I. I. Matveeva},
title = {Estimates for solutions to one class of nonautonomous systems with time-varying concentrated and distributed delays},
journal = {Matemati\v{c}eskie zametki SVFU},
pages = {70--79},
year = {2022},
volume = {29},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SVFU_2022_29_3_a5/}
}
TY - JOUR AU - I. I. Matveeva TI - Estimates for solutions to one class of nonautonomous systems with time-varying concentrated and distributed delays JO - Matematičeskie zametki SVFU PY - 2022 SP - 70 EP - 79 VL - 29 IS - 3 UR - http://geodesic.mathdoc.fr/item/SVFU_2022_29_3_a5/ LA - ru ID - SVFU_2022_29_3_a5 ER -
I. I. Matveeva. Estimates for solutions to one class of nonautonomous systems with time-varying concentrated and distributed delays. Matematičeskie zametki SVFU, Tome 29 (2022) no. 3, pp. 70-79. http://geodesic.mathdoc.fr/item/SVFU_2022_29_3_a5/