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

Author

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  • Henríquez, Hernán R.
  • Pierri, Michelle
  • Rolnik, Vanessa

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.

Suggested Citation

  • Henríquez, Hernán R. & Pierri, Michelle & Rolnik, Vanessa, 2016. "Pseudo S-asymptotically periodic solutions of second-order abstract Cauchy problems," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 590-603.
  • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:590-603
    DOI: 10.1016/j.amc.2015.11.034
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    Cited by:

    1. He, Bing & Wang, Qi-Ru & Cao, Jun-Fei, 2020. "Weighted Sp-pseudo S-asymptotic periodicity and applications to Volterra integral equations," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    2. Martina Pavlačková & Valentina Taddei, 2022. "Mild Solutions of Second-Order Semilinear Impulsive Differential Inclusions in Banach Spaces," Mathematics, MDPI, vol. 10(4), pages 1-25, February.

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