Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 4, pp. 32-43
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We consider a class of systems of nonlinear differential equations of neutral type with several delays. We obtain conditions of exponential stability of the zero solution and establish estimates characterizing exponential decay rate of solutions at infinity.
Keywords:
systems of neutral type, several delays, exponential stability, Lyapunov–Krasovskii functional, estimates for solutions.
@article{VNGU_2014_14_4_a3,
author = {G. V. Demidenko and I. I. Matveeva},
title = {Estimates for {Solutions} to {One} {Class} of {Nonlinear} {Systems} of {Neutral} {Type} with {Several} {Delays}},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {32--43},
publisher = {mathdoc},
volume = {14},
number = {4},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2014_14_4_a3/}
}
TY - JOUR AU - G. V. Demidenko AU - I. I. Matveeva TI - Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2014 SP - 32 EP - 43 VL - 14 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2014_14_4_a3/ LA - ru ID - VNGU_2014_14_4_a3 ER -
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G. V. Demidenko; I. I. Matveeva. Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 4, pp. 32-43. http://geodesic.mathdoc.fr/item/VNGU_2014_14_4_a3/