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 .
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。
2
The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.
研究了三阶非线性脉冲时滞微分方程解的振动性与渐近性，得到了一些充分判据。
3
And then, the uniform validity of solution is proved and the uniform valid asymptotic expansions of arbitrary order are obtained by using the theories of differential inequalities.