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