2 papers
math.DS2017
Dichotomy and bounded solutions of dynamical systems in the Hilbert space
Oleksandr Pokutnyi
For a general discrete dynamics on a Banach and Hilbert spaces we give a necessary and sufficient conditions of the existence of bounded solutions under assumption that the homogen…
math.DS2014
Bounded solutions of the finite and infinite-dimensional dynamical systems
O. A. Pokutnyi
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-know…