Existence results for a class of impulsive differential equations

Eduardo Hernández; Donal O'Regan

doi:10.1017/S0004972713000154

Existence results for a class of impulsive differential equations

Eduardo Hernández
, Donal O'Regan

Mathematics

University of São Paulo

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

7 Citations (Scopus)

Abstract

We study the existence of solutions for a class of impulsive differential equations. Our technical framework allows us to study partial differential equations with impulsive conditions involving partial derivatives and nonlinear expressions of the solution. Some applications to impulsive partial differential equations are presented.

Original language	English
Pages (from-to)	366-385
Number of pages	20
Journal	Bulletin of the Australian Mathematical Society
Volume	87
Issue number	3
DOIs	https://doi.org/10.1017/S0004972713000154
Publication status	Published - Jun 2013

Keywords

analytic semigroup
impulsive differential equations
nonlinear equations
nonlinear impulse

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10.1017/S0004972713000154

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title = "Existence results for a class of impulsive differential equations",

abstract = "We study the existence of solutions for a class of impulsive differential equations. Our technical framework allows us to study partial differential equations with impulsive conditions involving partial derivatives and nonlinear expressions of the solution. Some applications to impulsive partial differential equations are presented.",

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AU - O'Regan, Donal

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AB - We study the existence of solutions for a class of impulsive differential equations. Our technical framework allows us to study partial differential equations with impulsive conditions involving partial derivatives and nonlinear expressions of the solution. Some applications to impulsive partial differential equations are presented.

KW - analytic semigroup

KW - impulsive differential equations

KW - nonlinear equations

KW - nonlinear impulse

UR - https://www.scopus.com/pages/publications/84878298952

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DO - 10.1017/S0004972713000154

M3 - Article

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EP - 385

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

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Existence results for a class of impulsive differential equations

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Keywords

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