Analytic robustness of parameter-dependent perturbations of difference equations

Luis Barreira, Claudià Valls

Abstract


We establish the robustness of nonuniform exponential dichotomies under sufficiently small analytic parameter-dependent perturbations. We also show that the stable and unstable subspaces of the exponential dichotomies depend analytically on the parameter.

Keywords


Nonuniform exponential behavior; robustness

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