Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution |
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| Authors: | A M Samoilenko V E Slyusarchuk V V Slyusarchuk |
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| Institution: | (1) Ukrainian Academy of Sciences, Kiev;(2) Ukrainian State Academy of Water Economy, Rivne;(3) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
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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.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 12, pp. 1661–1676, December, 1997. |
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