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

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...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-01, Vol.212 (4), p.412-425
Main Authors: Wang, R. -N., Zhu, P. -X.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-015-2673-1