具连续分布滞量的偶数阶非线性中立型方程的振动准则  

Oscillation Criteria for Even Order Nonlinear Neutral Equations with Continuous Distribution Delay

作　　者：肖晴初[1,2] 刘再明[2] 

机构地区：[1]湖南商学院信息学院,湖南长沙410205 [2]中南大学数计学院,湖南长沙410071

出　　处：《数学的实践与认识》2009年第19期238-242,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(30870659);湖南省社会科学基金(08YBB187)

摘　　要：研究一类具连续分布滞量的偶数阶非线性中立型泛函微分方程解的振动性,利用数学分析方法和技巧与方程各阶导数的符号关系,建立了该类方程的若干新的振动准则,并通过实例加以阐明.The oscillation of solutions for certain even order nonlinear neutral functional differential equations with continuous distribution delay are investigated. By using analytic method and technique, and according to the sign relation of derivatives up to n th of the equation, some new oscillatory criteria of the equation are established. The results are illustrated by some examples.

关 键 词：偶数阶 非线性 中立型方程 振动性 连续分布滞量 

分 类 号：O175[理学—数学]