Geodesic
Estimates of solutions to linear differential equations of neutral type with several delays of argument
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 53-60

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We consider a system of linear differential equations of neutral type with several delays of argument. We obtain conditions on the matrix coefficients of the system under which all its solutions decay exponentially at infinity. Using functionals of Lyapunov–Krasovskii type, we establish uniform estimates of solutions.
Keywords: equations of neutral type, asymptotic stability, Lyapunov–Krasovskii functional. 
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     author = {G. V. Demidenko and E. S. Vodop'yanov and M. A. Skvortsova},
     title = {Estimates of solutions to linear differential equations of neutral type with several delays of argument},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a4/}
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G. V. Demidenko; E. S. Vodop'yanov; M. A. Skvortsova. Estimates of solutions to linear differential equations of neutral type with several delays of argument. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 53-60. http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a4/