Publicação: Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
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Springer
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In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence of -asymptotically -periodic mild solutions. Our results are based on the Hausdorff measure of non-compactness. Some applications involving partial differential equations are considered.
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First-order abstract Cauchy problem, impulsive differential equations, mild solutions, asymptotically periodic solutions, strongly continuous semigroups of linear operators
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Inglês
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Mediterranean Journal Of Mathematics. Basel: Springer Basel Ag, v. 13, n. 4, p. 1685-1708, 2016.
