### Robustness of nonuniform polynomial dichotomies for difference equations

#### Abstract

For a nonautonomous dynamics with discrete time defined by

a sequence of linear operators in a Banach space, we establish

the robustness of polynomial contractions and of polynomial dichotomies

under sufficiently small linear perturbations. In addition, we consider

the general case of nonuniform polynomial behavior.

a sequence of linear operators in a Banach space, we establish

the robustness of polynomial contractions and of polynomial dichotomies

under sufficiently small linear perturbations. In addition, we consider

the general case of nonuniform polynomial behavior.

#### Keywords

Nonuniform polynomial dichotomy; robustness

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