Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 219, Issue 12, Pages 6743-6749Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2012.12.084
Keywords
Impulsive differential equation; Mild solution; Analytic C-0-semigroup; Partial differential equations
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In this paper, using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi-linear abstract impulsive differential equations with not instantaneous impulses. Some applications involving partial differential equations with impulses are presented. (C) 2013 Published by Elsevier Inc.
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