Robustness of nonuniform exponential trichotomies in Banach spaces |
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Authors: | Luis Barreira Claudia Valls |
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Affiliation: | Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal |
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Abstract: | We establish the robustness under sufficiently small linear perturbations of nonuniform exponential trichotomies defined by linear equations x′=A(t)x in Banach spaces. We also establish the continuous dependence on the perturbation of the constants in the notion of trichotomy. We consider both trichotomies in semi-infinite intervals and trichotomies in R. |
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Keywords: | Nonuniform exponential trichotomies Robustness |
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