一类二阶中立型广义Emder-Fowler阻尼方程的振动准则

Oscillation Criteria for a Class of Second Order Neutral Generalized Emder-Fowler Equations with Damping Terms

考虑一类具阻尼项的二阶中立型广义Emder-Fowler方程解的振动性,先借助Riccati变换对非线性项和阻尼项进行处理,达到线性化的目的,再利用Philos的积分平均方法,建立这类方程解的振动准则.

The author considered oscillation of solutions for a class of second order neutral generalized Emder-Fowler equations with damping terms.In order to achieve the purpose of linearization,the author first used Riccati transformation to deal with the nonlinear terms and damping terms,and then used Philo’s integral average method to establish the oscillation criteria for the solutions of these equations.