Geodesic
Asymptotic properties of solutions to delay differential equations
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 5 (2005) no. 3, pp. 20-28

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We consider quasilinear systems of delay differential equations with constant coefficients in linear terms. We obtain sufficient conditions of asymptotic stability of the zero solution, establish estimates of decay rates of solutions at infinity, and find attraction domains of the zero solution. The results are stated in terms of a modified Lyapunov–Krasovskii functional. 
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     author = {G. V. Demidenko and I. I. Matveeva},
     title = {Asymptotic properties of solutions to delay differential equations},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {20--28},
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     volume = {5},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2005_5_3_a1/}
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G. V. Demidenko; I. I. Matveeva. Asymptotic properties of solutions to delay differential equations. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 5 (2005) no. 3, pp. 20-28. http://geodesic.mathdoc.fr/item/VNGU_2005_5_3_a1/