In this paper we give conditions for the existence of a dichotomy for the impulsive equation
where is a positive function such that in some sense. The results are expressed in terms of the properties of the eigenvalues of matrices , the properties of the eigenvalues of matrices and the location of the impulsive times in .
Published January 8, 2001.
Math Subject Classifications: 34A05, 34E05.
Key Words: Impulsive linear systems, singularly perturbed impulsive systems, dichotomies, splitting of impulsive systems.
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