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Pseudo Affine-Periodic Solutions for Delay Differential Systems

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Abstract

In this paper, we prove the existence and uniqueness of pseudo affine-periodic solutions for differential systems with finite or infinite delay via exponential dichotomy and some fixed point theorems. These solutions possess certain spatiotemporal structure and they might be periodic, rotating-periodic, or affine-periodic, even quasi-periodic.

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Acknowledgements

The authors sincerely thank Professor Li Yong for instructions and many invaluable suggestions. Yang Xue was supported by Science and Technology Developing Plan of Jilin Province (No. 20180101220JC). Wang Shuai was supported by National Natural Science Foundation of China (11901056).

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Authors and Affiliations

  1. College of Mathematics, Jilin University, Changchun, 130012, People’s Republic of China

    Jiayin Du & Xue Yang

  2. School of Science, Changchun University of Science and Technology, Changchun, 130022, People’s Republic of China

    Shuai Wang

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  1. Jiayin Du
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  2. Xue Yang
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  3. Shuai Wang
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Correspondence to Jiayin Du.

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Du, J., Yang, X. & Wang, S. Pseudo Affine-Periodic Solutions for Delay Differential Systems. Qual. Theory Dyn. Syst. 20, 60 (2021). https://doi.org/10.1007/s12346-021-00492-8

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