一类三阶非线性中立型微分方程的振动性

Oscillation of Third Order Nonlinear Neutral Differential Equations

研究三阶非线性中立型微分方程0[a(t)(b(t)(x(t)p(t)x((t))))]q(t)f(x((t)))0,t≥t0,的振动性,其中是两个正奇数的商.利用泰勒中值定理和函数的单调性,进一步完善和补充了已有的结果 .

In this paper, the oscillation of third order nonlinear neutral differential equation 0[a（t）（b（t）（x（t）p（t）x（（t））））]q（t）f（x（（t）））0,t≥t0, t 〉- to, is considered, where is a quotient of odd positive integers and, some new oscillation criteria are obtained, which improve and generalize some known results in.