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Research Article | Open Access

Periodic solutions of a class of indefinite singular differential equations

Zaitao Liang1, Xiuqiang Zhang1, Shengjun Li2( ), Ziqing Zhou1
School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui, China
School of Science, Hainan University, Haikou 570228, Hainan, China
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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.

Keywords

indefinite singular equationsperiodic solutionsfixed point theorem

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Electronic Research Archive
Volume 31 Issue 4,
April 2023
Pages 2139-2148
DOI: 10.3934/era.2023110

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Cite this article:
Liang Z, Zhang X, Li S, et al. Periodic solutions of a class of indefinite singular differential equations. Electronic Research Archive, 2023, 31(4): 2139-2148. https://doi.org/10.3934/era.2023110

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Received: 14 December 2022
Revised: 05 February 2023
Accepted: 13 February 2023
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)