Abstract
We consider a class of nonlinear systems of nonautonomous differential equations of neutral type with a time-varying delay that can be unbounded. Using a Lyapunov–Krasovskii functional, we establish some estimates of solutions that allow us to conclude whether the solutions are stable. In the case of exponential and asymptotic stability, we point out stabilization rates of the solutions at infinity.
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ACKNOWLEDGMENTS
The author is grateful to Professor G.V. Demidenko for useful discussions.
Funding
The study was supported by the Russian Foundation for Basic Research (project no. 18-29-10086).
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(Submitted by A. B. Muravnik)
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Matveeva, I.I. Estimates for Solutions to a Class of Nonlinear Time-Varying Delay Systems. Lobachevskii J Math 42, 3497–3504 (2021). https://doi.org/10.1134/S1995080222020147
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DOI: https://doi.org/10.1134/S1995080222020147