讨论了含大参数的二阶线性方程的渐进解， 并将其应用于楔型杆的纵振和扭振的研究。
The application of the asymptotic solution of second order linear homogeneous equation with big parameter to studying the longitudinal and twisted vibrations of tapered sticks is discussed .
采用修正渐近法研究了在力学中应用范围比较广泛的一类具有变系数二阶线性齐次方程，并求得了其修正渐进解。
A class of second orders homogeneous equations with varied coefficient widely applied in mechanics were studied using the amended asymptotic method, and the amended asymptotic solution was derived.
对于系数具有周期性时，我们给出了渐进周期解存在并且唯一的必要条件。
In case the coefficients are periodic, we give some sufficient conditions for the existence and uniqueness of asymptotic periodic solution.
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