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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The authors would like to thank the referee for invaluable comments and insightful suggestions.
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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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DOI: https://doi.org/10.1007/s12346-022-00583-0
Keywords
- Krasnoselski\(\breve{\text{ i }}\)’s-Guo fixed point
- Singular differential equation
- Indefinite weights
- Positive periodic solution