二阶线性微分方程是指未知函数及其一阶、二阶导数都是一次方的二阶方程，简单称为二阶线性方程。二阶线性微分方程的求解方式分为两类，一是二阶线性齐次微分方程，二是线性非齐次微分方程。
二阶线性偏微分方程 Linear Second Order PDE ; second order linear pde
二阶非线性微分方程 second order non-linear differential equation
线性二阶齐次微分方程 linear second-order homogeneous differential equation
二阶非线性常微分方程 Second-order nonlinear ordinary differential equation
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介绍了二阶线性微分方程的又一种常数变异法。
In this paper, we introduced another method of variation of constant of the second-order linear equation.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
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