Publicación:
DICHOTOMIES AND ASYMPTOTIC EQUIVALENCE IN ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS

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2017
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
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IN THIS PAPER, ORDINARY AND EXPONENTIAL DICHOTOMIES ARE DEFINED IN DIFFERENTIAL EQUATIONS WITH EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT OF GENERAL TYPE. WE PROVE THE ASYMPTOTIC EQUIVALENCE BETWEEN THE BOUNDED SOLUTIONS OF A LINEAR SYSTEM AND A PERTURBED SYSTEM WITH INTEGRABLE AND BOUNDED PERTURBATIONS.
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