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An Estimate for the Attraction Domains of Difference Equations with Periodic Linear Terms
Authors:Aydin  K  Bulgak  H  Demidenko  G V
Institution:(1) Selcuk University, Konya, Turkey;(2) Sobolev Institute of Mathematics, Novosibirsk
Abstract:We consider the quasilinear systems of difference equations with periodic coefficients in linear terms. We obtain estimates for the attraction domain of the zero solution and establish inequalities for the norms of solutions. The results are stated in terms of Lyapunov-type matrix series.
Keywords:asymptotic stability  attraction domain  Lyapunov discrete equation
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