The periodic solution of a second order linear equation

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 obt...

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Bibliographic Details
Published in:Afrika mathematica 2024-03, Vol.35 (1), Article 6
Main Author: Hua, Ni
Format: Article
Language:English
Subjects:
Applications of Mathematics
Differential equations
History of Mathematical Sciences
Linear equations
Mathematics
Mathematics and Statistics
Mathematics Education
Riccati equation
Transformations (mathematics)
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Summary: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.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-023-01142-9