Pseudo S-asymptotically periodic solutions of second-order abstract Cauchy problems

Hernán R. Henríquez, Michelle Pierri and Vanessa Rolnik

Applied Mathematics and Computation, 2016, vol. 274, issue C, 590-603

Abstract: In this work we discuss the existence of pseudo S-asymptotically periodic mild solutions for a second order abstract Cauchy problem. In particular, we show that pseudo S-asymptotically ω-periodic cosine functions of operators are ω-periodic. The paper is completed with an application to the nonautonomous wave equation.

Keywords: Asymptotically periodic solutions; Second order abstract Cauchy problem; Differential equations in abstract spaces; Mild solutions; Cosine functions of operators (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:590-603

DOI: 10.1016/j.amc.2015.11.034

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