时标上三阶时滞动力方程的振动性和渐近性  

Oscillation and asymptotic behaviors for third-order delay dynamic equations on time scales

作　　者：张晓建[1] 杨甲山[2] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422004 [2]梧州学院数理系,广西梧州543002

出　　处：《华东师范大学学报（自然科学版）》2014年第3期51-59,共9页Journal of East China Normal University(Natural Science)

基　　金：湖南省科技厅基金项目(2012FJ3107);湖南省自然科学基金(12JJ6006);湖南省教育厅科研项目(10C1189)

摘　　要：研究了时标上的一类非线性三阶中立型时滞动力方程的振动性,运用Riccati变换技术和大量的不等式技巧,获得了该方程的每一个解或者振动或者渐近于零的新充分条件,推广和改进了一些已知结果,并以具体例子来说明了本文的主要结论.The oscillation for certain third-order nonlinear variable delay dynamic equations on time scales was discussed in this article. By using the generalized Riccati transformation and a lot of inequality techniques, we established some new sufficient conditions which ensure that every solution of the equations either oscillates or converges to zero. The results extend and improve some known results. Examples were given to illustrate the main results

关 键 词：振动性 时滞动力方程 RICCATI变换 不等式技巧 时标 

分 类 号：O157.5[理学—数学]