一类四阶中立型微分方程解的振动性

Oscillation of Solutions for a Class of Fourth Order Neutral Differential Equations

高阶微分方程解的振动性问题近年来被广泛关注并取得了许多优秀成果,文章主要研究了一类四阶中立型微分方程的解的振动性,应用Riccati积分变换研究了不同的条件下方程解的振动性并给出了几个振动准则,最后用例子作了验证.

In recent years,the oscillation of solutions of higher order differential equations has been widelyconcerned and many excellent results have been obtained.This paper mainly studies the oscillation of solutions ofa class of fourth-order neutral differential equations.By using Riccati integral transformation,the oscillation of so-lutions of the equations is studied,and several oscillation criteria are given.Finally,an example is used to verifyit.