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On a new class of abstract impulsive differential equations
Eduardo Hernández, Donal O’Regan
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Source: Crossref
Published: Oct 25, 2012
DOI: 10.1090/s0002-9939-2012-11613-2
Open original source ↗Source abstract
In this note we introduce a new class of abstract impulsive differential equations for which the impulses are not instantaneous. We introduce the concepts of mild and classical solution and we establish some results on the existence of these types of solutions. An example involving a partial differential equation is presented.
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