Impulsive nonlocal differential equations through differential equations on time scales |
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| Authors: | Mieczys?aw Cichoń Aneta Sikorska-Nowak |
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| Affiliation: | a Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
b Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University, Universitatii 13, Suceava, Romania |
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| Abstract: | We propose a non-standard approach to impulsive differential equations in Banach spaces by embedding this type of problems into differential (dynamic) problems on time scales. We give an existence result for dynamic equations and, as a consequence, we obtain an existence result for impulsive differential equations. |
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| Keywords: | Time scale Dynamic equation Impulsive nonlocal Cauchy problem Henstock-Lebesgue integral |
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