Geodesic
Asymptotic Properties of Solutions to Systems of Differential Equations of~Neutral Type in Time-Varying Delay Case
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 4, pp. 143-152

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The paper is devoted to research of asymptotic stability of the zero solution to one class of systems of linear differential equations of neutral type in time-varying delay case. We obtain sufficient conditions of asymptotic stability of the zero solution and establish estimates of decay rate for solutions. The results have derived by the use of a modified Lyapunov–Krasovskii functional.
Keywords: systems of equations of neutral type, asymptotic stability, uniform estimates for solutions, modified Lyapunov–Krasovskii functional. 
@article{VNGU_2013_13_4_a10,
     author = {M. A. Skvortsova},
     title = {Asymptotic {Properties} of {Solutions} to {Systems} of {Differential} {Equations} {of~Neutral} {Type} in {Time-Varying} {Delay} {Case}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {143--152},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2013_13_4_a10/}
}
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M. A. Skvortsova. Asymptotic Properties of Solutions to Systems of Differential Equations of~Neutral Type in Time-Varying Delay Case. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 4, pp. 143-152. http://geodesic.mathdoc.fr/item/VNGU_2013_13_4_a10/