时间模上一类二阶非线性动态方程的振动结果  

Oscillation results of certain second-order nonlinear dynamic equations on time scales

作　　者：杨甲山[1] 莫协强[1] 

机构地区：[1]梧州学院数理系,广西梧州543002

出　　处：《安徽大学学报（自然科学版）》2015年第1期1-7,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11071222);湖南省自然科学基金资助项目(12JJ6006);湖南省科技厅基金资助项目(2012FJ3107);湖南省教育厅科研重点项目(09A082);广西省教育厅科研基金资助项目(2013YB223)

摘　　要：研究时间模上一类非线性的二阶中立型时滞动态方程的振动性,利用时间模上的理论和一些分析技巧,借助Riccati变换和H函数的方法,得到该方程振动的几个新的充分条件,改善了对方程的条件限制,推广和改进了现有文献中的有关结果,并给出例子说明结论的重要性.The oscillation for a certain class of second-order nonlinear neutral delay dynamic equations on time scales was discussed.Based on the time scales theory and some necessary analytic techniques,and generalized Riccati transformation and the method of H function,some new sufficient conditions for the oscillation of the equations were obtained.Our results could improve the restriction of the conditions for the equation.Some existing results in the literature were improved and extended.Some examples were given to illustrate the importance of our results.

关 键 词：振动性 时间模 中立型时滞动态方程 非线性中立项 

分 类 号：O175[理学—数学]