The asymptotic representation of solutions of difference equations systems and the averaging method
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 63-67

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The problem of constructing asymptotics for solutions of one class of difference equations as $t\to+\infty$ is studied.
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     author = {P. N. Nesterov},
     title = {The asymptotic representation of solutions of difference equations systems and the averaging method},
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P. N. Nesterov. The asymptotic representation of solutions of difference equations systems and the averaging method. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 63-67. http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a13/