Robustness of nonuniform polynomial dichotomies for difference equations

Luis Barreira, Meng Fan, Claudià Valls, Jimin Zhang

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.

Keywords


Nonuniform polynomial dichotomy; robustness

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