We establish conditions for the existence of piecewise continuous almost periodic solutions of a system of impulsive differential equations with exponentially dichotomous linear part. The robustness of exponential dichotomy and exponential contraction are investigated for linear systems with small perturbations of the right-hand sides and the points of impulsive action.
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Published in Neliniini Kolyvannya, Vol. 17, No. 4, pp. 546–557, October–December, 2014.
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Tkachenko, V.I. Exponential Dichotomy and Existence of Almost Periodic Solutions of Impulsive Differential Equations. J Math Sci 212, 490–502 (2016). https://doi.org/10.1007/s10958-015-2677-x
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DOI: https://doi.org/10.1007/s10958-015-2677-x