Geodesic
On asymptotic stability of solutions to delay difference equations
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 4, pp. 50-62

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We consider a class of systems of difference equations with constant coefficients and variable delay. We study asymptotic stability of the zero solution and establish estimates characterizing decay rate of solutions at infinity.
Keywords: delay difference equations, asymptotic stability of solutions, Lyapunov–Krasovskii functionals. 
@article{VNGU_2015_15_4_a5,
     author = {G. V. Demidenko and D. Sh. Baldanov},
     title = {On asymptotic stability of solutions to delay difference equations},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {50--62},
     publisher = {mathdoc},
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     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2015_15_4_a5/}
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G. V. Demidenko; D. Sh. Baldanov. On asymptotic stability of solutions to delay difference equations. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 4, pp. 50-62. http://geodesic.mathdoc.fr/item/VNGU_2015_15_4_a5/