Aydin K.Bulgak H.Demidenko G.V.2020-03-262020-03-2620040037-4466https://dx.doi.org/10.1023/B:SIMJ.0000048914.60495.c1https://hdl.handle.net/20.500.12395/19327We 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.en10.1023/B:SIMJ.0000048914.60495.c1info:eu-repo/semantics/openAccessasymptotic stabilityattraction domainLyapunov discrete equationArticle456983991Q2