时间测度链上多时滞变系数的二阶中立型非线性的动态方程  

Certain Second-order Neutral Nonlinear Dynamic Equation with Variable Coeficients and Multi-time Delay on Time Scales

作　　者：杨甲山[1] 

机构地区：[1]梧州学院数理系,广西梧州543002

出　　处：《梧州学院学报》2014年第3期36-41,共6页Journal of Wuzhou University

基　　金：湖南省科技厅基金项目(2012FJ3107);广西教育厅科研项目(2013YB223)

摘　　要：研究了时间测度链上的一类具有多时滞变系数的二阶中立型非线性的泛函动态方程的振荡性质,借助时间测度链上的有关理论和一些分析技巧,得到了该类方程所有解振荡的新准则,并同时得到了该方程所有解的△-导数振荡的充分条件,推广和改进了现有文献中的一些已知结果。Oscillation for a class of second order neutral nonlinear functional dynamic equation with variable coeficients and multi-time delay on time scales is studied in this paper. Using the time scales theory and some necessary analytic techniques, a new oscillation criterion for all solutions of the equation is established. In addition, a sufficient condition of oscillation for all solutions＇ delta derivative of the equation is proposed. Some existed results in the literatures have been further improved and extended.

关 键 词：振荡性 时间测度链 泛函动态方程 △-导数 可变时滞 

分 类 号：O175.7[理学—数学]