一阶非线性泛函微分方程的振动准则

Oscillation criteria for first order nonlinear functional diffrential equations

研究了一阶非线性泛函微分方程x'(t)+∑n i=1p i(t)f i(x[g o(t)],…,x[g m(t)])=0,获得该方程的新的振动准则。所得的结果推广和改进了文献的一些熟知的结果,并且给出了说明结果优点的例子。

In this paper some new oscillation criteria are obtained for the first order nonlinear functional differential equationsx’（t）＋n∑i=1pi（t）fi（x[go（t）],…,x[gm（t）]）=0.Our results extend andimprove the known results in the literature,and an example is given to demonstrate the advantage of our results.