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    Revista Colombiana de Matemáticas
    Volumen 33 [ 1] ( 1999) Páginas 9-13


    A remark on exponential dichotomies

    Raúl Naulin
    Universidad de Oriente, Cumaná, Venezuela


    Abstract. A proof of the existence of an exponential dichotomy for the linear system x'(t)=A(t)x(t) is given, based on the admissibility of the pair is the space of continuous functions on the semi-axis , values in and having a limit as , and is the space of bounded functions f on J such that .

    Palabras claves. Exponential dichotomies, admissibility.

    Codigo AMS. 1991 Primary 34A30.

    Archivo completo : Formato [PDF] (226 K). Formato [DVI] (588 K).