Nonuniform exponential dichotomies and Fredholm operators for flows |
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| Authors: | Luis Barreira Davor Dragičević Claudia Valls |
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| Affiliation: | 1.Departamento de Matemática, Instituto Superior Técnico,Universidade de Lisboa,Lisbon,Portugal;2.School of Mathematics and Statistics,University of New South Wales,Sydney,Australia |
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| Abstract: | For the flow determined by a nonautonomous linear differential equation, we characterize the existence of a strong nonuniform exponential dichotomy in terms of the Fredholm property of a certain linear operator. We consider both cases of one-sided and two-sided exponential dichotomies. Moreover, we use the characterizations to establish the robustness of the notion of a strong nonuniform exponential dichotomy in a simple manner. |
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