Abstract
This paper deals with a class of second-order linear differential equations with periodic coefficients. By viable transformation, we put the second-order linear differential equation into Riccati’s equation. By means of two periodic solutions of Riccati’s equation and variable transformation, we obtain the existence and uniqueness of the periodic solution of the nonhomogeneous second-order linear differential equation, some new results are obtained.
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Acknowledgements
This research was supported by the Senior Talent Foundation of Jiangsu University(14JDG176).
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Supported by the Senior Talent Foundation of Jiangsu University(14JDG176).
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Hua, N. The periodic solution of a second order linear equation. Afr. Mat. 35, 6 (2024). https://doi.org/10.1007/s13370-023-01142-9
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DOI: https://doi.org/10.1007/s13370-023-01142-9