We prove that a linear nonautonomous differential system with nonuniform hyperbolicity on the half line can be written as diagonal system with a perturbation which is small enough. Moreover we show that the diagonal terms ...

We obtain sufficient conditions ensuring the topological and strong topological equivalence of two perturbed difference systems whose linear part has a property of generalized exponential dichotomy. When the exponential ...

We study a liaison between the Bohl's exponents and the exponential dichotomy spectrum of a non-autonomous linear system of difference equations on the whole line Z. More specifically, we prove that for any initial condition ...

A linear system of di erence equations and a nonlinear perturbation are considered, we obtain su cient conditions to ensure the topological equivalence between them, namely, the linear part satis es a property of ...