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.
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Published in Neliniini Kolyvannya, Vol. 17, No. 4, pp. 476–488, October–December, 2014.
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Wang, R.N., Zhu, P.X. New Results on Periodic Solutions to Impulsive Nonautonomous Evolutionary Equations with Time Delays. J Math Sci 212, 412–425 (2016). https://doi.org/10.1007/s10958-015-2673-1
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DOI: https://doi.org/10.1007/s10958-015-2673-1