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An Estimate for the Attraction Domains of Difference Equations with Periodic Linear Terms

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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.

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Authors and Affiliations

  1. Selcuk University, Konya, Turkey

    K. Aydin & H. Bulgak

  2. Sobolev Institute of Mathematics, Novosibirsk

    G. V. Demidenko

Authors
  1. K. Aydin
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  2. H. Bulgak
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  3. G. V. Demidenko
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Aydin, K., Bulgak, H. & Demidenko, G.V. An Estimate for the Attraction Domains of Difference Equations with Periodic Linear Terms. Siberian Mathematical Journal 45, 983–991 (2004). https://doi.org/10.1023/B:SIMJ.0000048914.60495.c1

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  • DOI: https://doi.org/10.1023/B:SIMJ.0000048914.60495.c1

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