时标上的三阶非线性中立型变时滞动力方程的振动性与渐进性  

Oscillatory and Asymptotic Behavior of Third-order Nonlinear Neutral Variable Delays Dynamic Equations on Time Scales

作　　者：孙丽洁[1,2] 杨军[2,3] 徐利花[2] 

机构地区：[1]天津农学院,天津西青066004 [2]燕山大学理学院,河北秦皇岛066004 [3]河北省数学研究中心,河北石家庄050000

出　　处：《数学的实践与认识》2012年第23期188-193,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(60604004);河北省自然科学基金数学研究专项资助项目(07M005)

摘　　要：考虑了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进性.利用Riccati变换技巧得到了方程所有解振动或渐进趋于零的充分条件.特别地,所得新结果发展了一些已有结论.并给出了例子加以说明本文的主要结果.This paper＇is concerned with oscillatory and asymptotic behavior of third-order nonlinear neutral variable delays dynamic equations on time scales. By using the generalized Riccati transformation technique, we establish some sufficient conditions which guarantee that every solution of the equation oscillates or converges to zero. In particular, our new results generalize and extend some known results. An example is given to illustrate the main results of the paper.

关 键 词：振动性 渐进性 非线性 中立型 变时滞 时标 

分 类 号：O175[理学—数学]