Nonemptyness and compactness of the solution set for fractional evolution inclusions with non-instantaneous impulses

Nonemptyness and compactness of the solution set for fractional evolution inclusions with non-instantaneous impulses

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In this article, we introduce a non-instantaneous impulsive operator associated with the heat semigroup and give some basic properties. We derive an abstract formula for the solutions to non-instantaneous impulsive heat equations. Also we show the existence and uniqueness of the non-homogeneous...

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Bibliographic Details
Main Authors: Peng Yang, Jinrong Wang, Donal O'Regan
Format: Article
Language:English
Published: Texas State University 2020-02-01
Series:Electronic Journal of Differential Equations
Subjects:
non-homogeneous periodic trajectory
heat equation
non-instantaneous impulsive
Online Access:http://ejde.math.txstate.edu/Volumes/2020/18/abstr.html
Description
Summary:In this article, we introduce a non-instantaneous impulsive operator associated with the heat semigroup and give some basic properties. We derive an abstract formula for the solutions to non-instantaneous impulsive heat equations. Also we show the existence and uniqueness of the non-homogeneous periodic trajectory.
ISSN:1072-6691

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