Exponential dichotomy and boundedness for retarded functional difference equations |
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| Authors: | Fernando Cardoso |
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| Institution: | Departamento de Matemática , Universidade Federal de Pernambuco , Recife, PE, Brazil |
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| Abstract: | We characterize the exponential dichotomy of difference equations with infinite delay. We apply the results to study the robustness of exponential dichotomy. This kind of dichotomy gives us relevant information about boundedness of solutions for several perturbed quasi linear systems with infinite delay. Applications to Volterra difference equations are shown. |
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| Keywords: | exponential dichotomy difference equations infinite delay robustness boundedness Volterra difference equations |
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