三阶非线性中立型变时滞动力方程的渐近性与振动性(英文)  

Asymptotic and Oscillatory Behavior for Third-order Nonlinear Neutral Variable Delay Dynamic Equations

作　　者：杨军[1,2] 孙丽洁[1] 徐利花[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]河北省数学研究所,河北石家庄050000

出　　处：《应用数学》2010年第3期508-515,共8页Mathematica Applicata

基　　金：Supported by the NNSF of China(60604004);the Special Projects in Mathematics Fundedby NFS of Hebei Province (07 M005)

摘　　要：考虑了时标上三阶非线性中立型变时滞动力方程的渐近性和振动性.利用广义Ric-cati技巧与完全平方技巧,获得了方程所有解渐近和振动的准则.所得结果推广了已有三阶动力方程的结果,给出了一些例子加以说明本文的主要结论.This paper is concerned with asymptotic and oscillatory behavior for third-order nonlinear neutral dynamic equations on time scales with variable delay.By using the generalized Riccati technique and integral averaging technique,new asymptotic and oscillatory criteria are obtained for all solutions of the equation.Our results generalize and extend many known results for third order dynamic equations.Some examples are given to illustrate the main results of the paper.

关 键 词：渐近性 振动性 非线性 中立型 变时滞 

分 类 号：O175.15[理学—数学]