Bounded solutions of the finite and infinite-dimensional dynamical systems
arXiv:1411.3248
Abstract
Invariant torus are constructed under assumption that the homogeneous system admits an exponential dichotomy on the semi-axes. The main result is closely related with the well-known Palmer's lemma and results of Boichuk A.A., Samoilenko A.M.
exponential dichotomy, bounded solutions, invariant manifold