一类偶数阶非线性中立型方程的渐进性和振动性  

Asymptotic behavior and oscillation for a class of even order nonlinear neutral equations

作　　者：罗李平[1] 欧阳自根[2] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008 [2]南华大学数学系,湖南衡阳421001

出　　处：《云南大学学报（自然科学版）》2007年第4期330-334,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(10471086)

摘　　要：考虑一类带强迫项的偶数阶非线性中立型泛函微分方程,利用数学分析方法和技巧与方程各阶导数的符号关系,得到了该类方程解的渐进性和振动性的若干充分条件.A class of even order nonlinear neutral functional differential equations with forced term is considered. By using analytic method and technique, and according to the sign relation of derivatives up to n-th of the equation, some sufficient conditions for the asymptotic behavior and oscillation of solutions of the equations are obtained.

关 键 词：偶数阶 非线性中立型方程 渐进性 振动性 强迫项 

分 类 号：O175.12[理学—数学]