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Positive Periodic Solutions to a Second-Order Singular Differential Equation with Indefinite Weights

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Abstract

The aim of this paper is to show that Krasnoselskiĭ’s-Guo fixed point theorem can be applied to a second-order singular differential equation with indefinite weights. Using the Green’s function, we prove the existence of a positive periodic solution for the second-order singular differential equation with indefinite weights. These results are applicable to weak as well as strong singularities

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Acknowledgements

The authors would like to thank the referee for invaluable comments and insightful suggestions.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454003, China

    Xuefeng Han & Zhibo Cheng

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  1. Xuefeng Han
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  2. Zhibo Cheng
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Correspondence to Zhibo Cheng.

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Research is supported by National Natural Science Foundation of China (11501170), Technological innovation talents in universities and colleges in Henan Province (21HASTIT025) and Natural Science Foundation of Henan Province (222300420449)

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Han, X., Cheng, Z. Positive Periodic Solutions to a Second-Order Singular Differential Equation with Indefinite Weights. Qual. Theory Dyn. Syst. 21, 53 (2022). https://doi.org/10.1007/s12346-022-00583-0

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