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

作　　者：仉志余[1] 王晓霞[1] 俞元洪[2] 

机构地区：[1]太原工业学院理学系,山西太原030008 [2]中国科学院数学与系统科学研究院,北京100190

出　　处：《应用数学》2016年第2期352-358,共7页Mathematica Applicata

基　　金：山西省自然科学基金(2011011002-3)

摘　　要：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.

关 键 词：三阶泛函微分方程 振动准则 比较方法 

分 类 号：O175.12[理学—数学]