一类非线性常微分方程解的渐近性态

The Asymptotic Behavior of Solutions of One kind of Nonlinear Ordinary Differential Equations

研究一类柯西问题（０．１）含参量α的解ｙ（ｘ，α）的渐近性态，证明了在［０，＋∝）上ｙ（ｘ，α）是振幅衰减且趋于零的振荡解．

in this paper the asymptotie behavior of the solutions with parameter a to a class of Cauehy problem(0.1)is studied and that is amplitude deeay and oseillating solution of tending to zero on is proved.