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

Fecha
2017
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Resumen
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.