ON A NEW CLASS OF ABSTRACT IMPULSIVE DIFFERENTIAL EQUATIONS

Donal O'Regan

doi:PII S 0002-9939(2012)11613-2

ON A NEW CLASS OF ABSTRACT IMPULSIVE DIFFERENTIAL EQUATIONS

Donal O'Regan

Mathematics

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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.

Original language	English (Ireland)
Number of pages	9
Journal	Proceedings Of The American Mathematical Society
Volume	141
DOIs	https://doi.org/PII S 0002-9939(2012)11613-2
Publication status	Published - 1 May 2013

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Authors
Hernandez, E,O'Regan, D

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PII S 0002-9939(2012)11613-2

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title = "ON A NEW CLASS OF ABSTRACT IMPULSIVE DIFFERENTIAL EQUATIONS",

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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year = "2013",

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language = "English (Ireland)",

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AB - 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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DO - PII S 0002-9939(2012)11613-2

M3 - Article

VL - 141

JO - Proceedings Of The American Mathematical Society

JF - Proceedings Of The American Mathematical Society

ER -

ON A NEW CLASS OF ABSTRACT IMPULSIVE DIFFERENTIAL EQUATIONS

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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