二阶线性方程的周期解

IF 0.9 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2023-11-28 DOI:10.1007/s13370-023-01142-9

Ni Hua

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引用次数: 0

摘要

研究了一类具有周期系数的二阶线性微分方程。通过可行变换，将二阶线性微分方程转化为Riccati方程。利用Riccati方程的两个周期解和变量变换，得到了非齐次二阶线性微分方程周期解的存在唯一性，得到了一些新的结果。

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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 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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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量