时标上三阶中立型动力方程的振动性与渐近性  

Oscillatory and asymptotic behavior of third-order neutral dynamic equations on time scales

作　　者：尚仲平[1] 

机构地区：[1]燕山大学继续教育学院,河北秦皇岛066004

出　　处：《河北大学学报（自然科学版）》2013年第4期342-346,共5页Journal of Hebei University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(F2011201063)

摘　　要：对时标上一类三阶非线性中立型变时滞动力方程的振动性和渐近性进行了研究.利用Riccati变换技巧得到了方程所有解振动或渐近趋于零的充分条件.所得结果发展了一些已有结论,并给出了例子用以证明主要结果.This paper deals with oscillatory and asymptotic behavior of a third-order nonlinear neutral variable delays dynamic equation on time scales, by using the generalized Riccati transformation technique. Some sufficient conditions which guarantee that every solutions of the equation oscillates or converges to zero were established, In particular, the results generalize and extend some known results. An example was given to illustrate the main results of the paper.

关 键 词：振动性 渐近性 非线性 中立型 变时滞 时标 

分 类 号：O175[理学—数学]