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Existence of periodic solutions for hybrid evolution equation with delay in partially ordered Banach spaces

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Abstract

In this paper, we are devoted to consider the periodic problem for the hybrid delayed evolution equation in partially ordered Banach spaces. By means of positive \(C_{0}\)-semigroup and Krasnoselkii type fixed point theorem, we obtain some new existence theorems of periodic mild solutions under some mixed conditions. The results obtained in this paper generalize and improve the recent achievements on this subject. Finally, an example shows the feasibility of the abstract results.

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Funding

This work was supported by NNSF of China (11261053,11501455).

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Authors and Affiliations

  1. Department of Mathematics, Shanxi Normal University, Linfen, 041000, People’s Republic of China

    Qiang Li & Tianjiao Yuan

Authors
  1. Qiang Li
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  2. Tianjiao Yuan
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Contributions

T. Yuan carried out the first draft of this manuscript. Q. Li prepared the final version of the manuscript. Both authors read and approved the final manuscript.

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Correspondence to Qiang Li.

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Li, Q., Yuan, T. Existence of periodic solutions for hybrid evolution equation with delay in partially ordered Banach spaces. J Anal 29, 113–129 (2021). https://doi.org/10.1007/s41478-020-00250-0

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  • DOI: https://doi.org/10.1007/s41478-020-00250-0

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