一类三阶非线性中立型时滞微分方程的振动性

Oscillation on Three Order Nonlinear Neutral Delay Differential Equations

主要研究三阶非线性中立型时滞微分方程[a(t)((b(t)(x(t)+p(t)x(σ(t)))')α)']'+q(t)f(x(τ(t)))=0,t≥t0,的振动性,其中α是两个正奇数的商且α≥1,给出了弱振动准则,所得结果改进和推广了现有的若干结论.

In this paper, the oscillation of third order nonlinear neutral differential equation[a（t）（（b（t）（x（t）＋P（t）x（σ（t）））＇）a）＇]＇＋q（t）f（x（T（t）））=0,t≥t0 is considered, where α is a quotient of odd positive integers and α≥1, some new oscillation criteria are obtained,