Topological Methods in Nonlinear Analysis

On abstract differential equations with non instantaneous impulses

Eduardo Hernández, Michelle Pierri, and Donal O'Regan

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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.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 46, Number 2 (2015), 1067-1088.

Dates
First available in Project Euclid: 21 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1458588674

Digital Object Identifier
doi:10.12775/TMNA.2015.080

Mathematical Reviews number (MathSciNet)
MR3494983

Zentralblatt MATH identifier
1360.34131

Citation

Hernández, Eduardo; Pierri, Michelle; O'Regan, Donal. On abstract differential equations with non instantaneous impulses. Topol. Methods Nonlinear Anal. 46 (2015), no. 2, 1067--1088. doi:10.12775/TMNA.2015.080. https://projecteuclid.org/euclid.tmna/1458588674


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