New Results on Periodic Solutions to Impulsive Nonautonomous Evolutionary Equations with Time Delays
- Authors: Wang R.-.1, Zhu P.-.2
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Affiliations:
- Guangdong University, Foreign Studies
- Nanchang University
- Issue: Vol 212, No 4 (2016)
- Pages: 412-425
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237031
- DOI: https://doi.org/10.1007/s10958-015-2673-1
- ID: 237031
Cite item
Abstract
We obtain new results on periodic solutions for a class of nonautonomous impulsive evolutionary equations with time delays. Under suitable assumptions, such as the ultimate boundedness of the solutions of equations, we establish a theorem on periodic solutions to equations of this kind by using the Horn fixed-point theorem. At the end of the paper, we present an application to the case of nonautonomous impulsive partial differential equation with finite time delay.
About the authors
R. -N. Wang
Guangdong University, Foreign Studies
Author for correspondence.
Email: rnwang@mail.ustc.edu.cn
China, Guangzhou, 510420
P. -X. Zhu
Nanchang University
Author for correspondence.
Email: pxzhuncu@126.com
China, Nanchang, Jiangxi, 330031