【摘要】 对一类高阶非线性摄动微分方程［ａ（ｔ）φ（ｘ（ｎ）（ｔ））ｘ（ｔ）］－ｍ（ｔ）φ１／２（ｘ（ｎ）（ｔ））ｘ（ｔ）＋Ｑ（ｔ，ｘ，ｘ）＝０（ｎ＝０，１，…）在满足一定的条件下，建立了若干使该方程解振荡的充分条件．该结果推广了原有结论，扩大了应用范围更多还原

【Abstract】 For perturbed nonlinear differential equations with some higher orders, [ a(t)φ(x (n) (t))· x(t)] -m(t)φ 1/2 (x (n) (t))x(t)+Q(t,x,x)=0 (n=0, 1, …) , some sufficient conditions are established in order that all continual solutions x(t) of equations are oscillatory. This result is more applicable than other criteria now widely used.更多还原