Multiple periodic solutions of differential delay systems with $ 2k $ lags

Li Zhang; Huihui Pang; Weigao Ge; Li Zhang; Huihui Pang; Weigao Ge

doi:10.3934/math.2021399

AIMS Mathematics

2021, Volume 6, Issue 7: 6815-6832. doi: 10.3934/math.2021399

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Research article

Multiple periodic solutions of differential delay systems with $ 2k $ lags

1.
Institute of Fundamental and Interdisciplinary Sciences, Institute of Mathematics and Physics, Beijing Union University, Beijing 100101, China
2.
College of Science, China Agricultural University, Beijing 100083, China
3.
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Received: 15 December 2020 Accepted: 14 April 2021 Published: 21 April 2021
MSC : 34A34, 34K13

The quantity of $ 2(2k+1) $-periodic solutions to a specific differential delay system with $ 2k $ lags is studied and resolved by variational methods. Several results are revealed and two examples are given to illustrate the application of the main results.
- periodic solution,
- delay,
- differential system,
- variation
Citation: Li Zhang, Huihui Pang, Weigao Ge. Multiple periodic solutions of differential delay systems with $ 2k $ lags[J]. AIMS Mathematics, 2021, 6(7): 6815-6832. doi: 10.3934/math.2021399

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Abstract

The quantity of $ 2(2k+1) $-periodic solutions to a specific differential delay system with $ 2k $ lags is studied and resolved by variational methods. Several results are revealed and two examples are given to illustrate the application of the main results.

References

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