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General dichotomic behaviour for nonautonomous difference and
differential equations In the class of Lipschitz perturbations of nonautonomous linear difference and differential equations in a Banach space, admitting a very general type of dichotomy, we show that there are invariant manifolds where the behavior is similar to the behavior in one of the families of invariant subspaces defined by the dichotomy. These results improve previous known results in the literature. This talk is based on joint work with A. Bento.
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Departamento de Matemática da Universidade da Beira Interior |