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Robustness of generalized dichotomies For nonautonomous linear difference equations in a Banach space and admitting a very general type of dichotomy, we prove that the dichotomic behavior persists under small linear perturbations exactly with the same growth rates. In the particular case of nonuniform exponential dichotomies and nonuniform polynomial dichotomies our result improves the previous known results. This talk is based on joint work with C.M. Silva.
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Departamento de Matemática da Universidade da Beira Interior |