On a new class of abstract impulsive differential equations-Reference-Cited by-同舟云学术

On a new class of abstract impulsive differential equations

Published:2012-10-25 Issue:5 Volume:141 Page:1641-1649
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hernández Eduardo,O’Regan Donal

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-05/S0002-9939-2012-11613-2/S0002-9939-2012-11613-2.pdf

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