首页> 中文期刊> 《浙江大学学报(理学版)》 >二阶Emden-Fowler型非线性变时滞微分方程的振荡准则

二阶Emden-Fowler型非线性变时滞微分方程的振荡准则

         

摘要

The purpose of this article is to study the oscillatory behavior of second-order Emden-Fowler nonlinear neutral functional differential equations with variable delay.By using the Riccati transformation, integral averaging technique and differential inequalities, we established a new oscillation criteria and a comparison theorem for the oscillation of the equations.These criteria dealing with some cases have not been covered by the existing results in the literature.%研究了一类具有变时滞的二阶Emden-Fowler型非线性中立型泛函微分方程的振荡性.借助Riccati变换、积分平均技术和微分不等式等技巧,获得了该类方程振荡的新判别准则和比较判别定理,推广、改进并丰富了现有文献中的结果.

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