Periodic solutions of a class of indefinite singular differential equations

Zaitao Liang; Xiuqiang Zhang; Shengjun Li; Ziqing Zhou; Zaitao Liang; Xiuqiang Zhang; Shengjun Li; Ziqing Zhou

doi:10.3934/era.2023110

Electronic Research Archive

2023, Volume 31, Issue 4: 2139-2148. doi: 10.3934/era.2023110

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Research article

Periodic solutions of a class of indefinite singular differential equations

1.
School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui, China
2.
School of Science, Hainan University, Haikou 570228, Hainan, China

Received: 14 December 2022 Revised: 05 February 2023 Accepted: 13 February 2023 Published: 21 February 2023

In this article, some sufficient conditions for the existence of positive periodic solutions of a more general indefinite singular differential equation are established. The results are applicable to strong singularities as well as weak singularities. Some results in literature are generalized.
- indefinite singular equations,
- periodic solutions,
- fixed point theorem
Citation: Zaitao Liang, Xiuqiang Zhang, Shengjun Li, Ziqing Zhou. Periodic solutions of a class of indefinite singular differential equations[J]. Electronic Research Archive, 2023, 31(4): 2139-2148. doi: 10.3934/era.2023110

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Abstract

In this article, some sufficient conditions for the existence of positive periodic solutions of a more general indefinite singular differential equation are established. The results are applicable to strong singularities as well as weak singularities. Some results in literature are generalized.

References

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