Geodesic
Estimates for solutions to one class of nonlinear delay differential equations
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 122-132

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We consider systems of nonlinear delay differential equations with periodic coefficients in the linear terms. Sufficient conditions for the asymptotic stability of the zero solution are established. We obtain estimates characterizing the decay of solutions at infinity and describe the attraction sets for the zero solution.
Keywords: delay differential equations, periodic coefficients, asymptotic stability, Lyapunov–Krasovskii functional, estimates for solutions, attraction set. 
@article{SJIM_2013_16_3_a10,
     author = {I. I. Matveeva},
     title = {Estimates for solutions to one class of nonlinear delay differential equations},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {122--132},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a10/}
}
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I. I. Matveeva. Estimates for solutions to one class of nonlinear delay differential equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 122-132. http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a10/