摘要
研究了时间测度链上的一类具有非线性中立项和变时滞的二阶非线性动力方程的振动性.通过引入参数函数和广义的Riccati变换,并借助时间测度链上的有关理论,得到了方程振动的几个充分条件.所得结果推广和改进了现有文献中相应的结果.
In this paper, the oscillation for a class of second order nonlinear dynamic equation on time scales with nonlinear neutral term and variable delay was discussed. Using the time scales theory and some necessary analytic techniques, some sufficient conditions for oscillation of the equation were proposed by introducing parameter function and the generalized Riccati transformation. These results improve and generalize some corresponding known results in the literature.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第13期265-270,共6页
Mathematics in Practice and Theory
基金
广西教育厅科研项目(2013YB223)
湖南省教育厅科研重点项目(09A082)