New Results on Periodic Solutions to Impulsive Nonautonomous Evolutionary Equations with Time Delays


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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


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