Asymptotic Stability of Solutions to Delay Difference Equations


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Abstract

We consider a class of systems of delay difference equations with constant coefficients and variable delay parameter. We study the asymptotic stability of the zero solution and obtain estimates for the solution which characterize the decay rate at infinity.

About the authors

G. V. Demidenko

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Author for correspondence.
Email: demidenk@math.nsc.ru
Russian Federation, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090

D. Sh. Baldanov

Novosibirsk State University

Email: demidenk@math.nsc.ru
Russian Federation, 2, ul. Pirogova, Novosibirsk, 630090

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