Peng Yang, Jinrong Wang, Donal O'Regan
Abstract:
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.
Submitted July 25, 2019. Published February 13, 2020.
Math Subject Classifications: 35K05
Key Words: Non-homogeneous periodic trajectory; heat equation;
non-instantaneous impulsive.
DOI: 10.58997/ejde.2020.18
Show me the PDF file (299 KB), TEX file for this article.
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Peng Yang Department of Mathematics Guizhou University Guiyang, Guizhou 550025, China email: pyangmath@126.com |
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Jinrong Wang Department of Mathematics Guizhou University, Guiyang Guizhou 550025, China email: jrwang@gzu.edu.cn |
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Donal O'Regan School of Mathematics Statistics and Applied Mathematics National University of Ireland Galway, Ireland email: donal.oregan@nuigalway.ie |
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