二阶非线性延滞微分方程的振动性定理

OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS

本文研究二阶非线性延滞微分方程x″(t)+p(t)k(t,x(t),x′(t))x′(t)+q(t)f(x(σ(t)))=0 (1)的解的振动性质。在一定条件下,建立了方程(1)的六个振动性定理。本文的结果推广或改进了已知的一些结果。

In this paper we discuss the oscillation of the second order nonlinear delay differential equation Six new theorems are established. Our results generalize and improve some known results.