Geodesic
Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1689-1697

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We consider a class of nonlinear systems of nonautonomous 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. In the case of exponential and asymptotic stability, stabilization rates of the solutions at infinity are pointed out.
Keywords: time-varying delay systems, estimates for solutions, stability, Lyapunov – Krasovskii functional.
Mots-clés : variable coefficients 
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     author = {I. I. Matveeva},
     title = {Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1689--1697},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a54/}
}
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I. I. Matveeva. Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1689-1697. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a54/