ON ABSTRACT DIFFERENTIAL EQUATIONS WITH NON INSTANTANEOUS IMPULSES

Donal O'Regan

ON ABSTRACT DIFFERENTIAL EQUATIONS WITH NON INSTANTANEOUS IMPULSES

Donal O'Regan

Mathematics

University of São Paulo

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

69 Citations (Scopus)

Abstract

We introduce a class of abstract differential equation with non instantaneous impulses which extend and generalize some recent models considered in the literature. We study the existence of mild and classical solution and present some applications involving partial differential equations with non-instantaneous impulses.

Original language	English (Ireland)
Pages (from-to)	1067-1088
Number of pages	22
Journal	Topological Methods In Nonlinear Analysis
Volume	46
Issue number	2
Publication status	Published - 1 Dec 2015

Keywords

Impulsive differential equation
Mild solution
Non-instantaneous impulses
Partial differential equations with impulses

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

Authors
Hernandez, E,Pierri, M,O'Regan, D

Cite this

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title = "ON ABSTRACT DIFFERENTIAL EQUATIONS WITH NON INSTANTANEOUS IMPULSES",

abstract = "We introduce a class of abstract differential equation with non instantaneous impulses which extend and generalize some recent models considered in the literature. We study the existence of mild and classical solution and present some applications involving partial differential equations with non-instantaneous impulses.",

keywords = "Impulsive differential equation, Mild solution, Non-instantaneous impulses, Partial differential equations with impulses",

author = "Donal O'Regan",

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year = "2015",

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N2 - We introduce a class of abstract differential equation with non instantaneous impulses which extend and generalize some recent models considered in the literature. We study the existence of mild and classical solution and present some applications involving partial differential equations with non-instantaneous impulses.

AB - We introduce a class of abstract differential equation with non instantaneous impulses which extend and generalize some recent models considered in the literature. We study the existence of mild and classical solution and present some applications involving partial differential equations with non-instantaneous impulses.

KW - Impulsive differential equation

KW - Mild solution

KW - Non-instantaneous impulses

KW - Partial differential equations with impulses

UR - https://www.scopus.com/pages/publications/84955284638

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VL - 46

SP - 1067

EP - 1088

JO - Topological Methods In Nonlinear Analysis

JF - Topological Methods In Nonlinear Analysis

IS - 2

ER -

ON ABSTRACT DIFFERENTIAL EQUATIONS WITH NON INSTANTANEOUS IMPULSES

Abstract

Keywords

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

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