2017
Том 69
№ 9

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Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution

Samoilenko A. M., Slyusarchuk V. E., Slyusarchuk V. V.

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Abstract

We investigate the behavior of a diserete dynamical system in a neighborhood of a quasiperiodic trajeetory for the case of an infinite-dimensional Banach space We find conditions sufficient for the system considered to reduce, in such a neighborhood, to a system with quasiperiodic coefficients.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 12, pp 1872-1890.

Citation Example: Samoilenko A. M., Slyusarchuk V. E., Slyusarchuk V. V. Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution // Ukr. Mat. Zh. - 1997. - 49, № 12. - pp. 1661–1676.

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