三阶非线性泛函微分方程振动的比较准则

On Comparison Criteria for Oscillation of Third Order Nonlinear Functional Differential Equations

本文利用比较法,与一阶时滞微分方程的振动性相比较,研究一类三阶非线性泛函微分方程的振动性,建立该类方程振动的新比较振动准则.本文结果推广和改进了最近文献中的一些新结果.

In this paper, by using the method of comparison with first order delay differential equations, we study the oscillation behavior for some certain class of third order nonlinear delay differential equations. We establish some new comparison criteria which insure that the third order equations are oscillatory if the first order equations oscillate. The results extend and improve some known results in the literature recently.