华东师范大学学报(自然科学版) ›› 2012, Vol. 2012 ›› Issue (3): 17-23.

• 应用数学与基础数学 • 上一篇    下一篇

时间测度链上二阶动力方程的振动准则

杨甲山   

  1. 邵阳学院~~理学与信息科学系, 湖南~~邵阳 422004
  • 收稿日期:2011-05-01 修回日期:2011-08-01 出版日期:2012-05-25 发布日期:2012-05-22

Oscillation criteria of a class of second-order dynamic equations on time scales

YANG Jia-shan   

  1. Department of Science and Information, Shaoyang University, Shaoyang Hunan}422004, China
  • Received:2011-05-01 Revised:2011-08-01 Online:2012-05-25 Published:2012-05-22

PDF

2261

摘要： 研究了时间测度链上的一类具有非线性中立项的二阶非线性变时滞动力方程的振动性. 利用时间测度链上的理论和一些分析技巧, 通过引入参数函数和\,Riccati\,变换, 得到了该方程振动的几个充分条件, 推广和改进了现有文献中的有关结果.

关键词: 时间测度链, 动力方程, 非线性中立项, 变时滞, 振动性

Abstract: The oscillation for a class of second-order nonlinear variable delay dynamic equations on time scales with nonlinear neutral term was discussed. Using the time scales theory and some necessary analytic techniques, and by introducing parameter function and the generalized Riccati transformation, some sufficient
conditions for the oscillation of the equations were obtained. Some existing results in the literature are improved and extended.

Key words: time scales, dynamic equations, nonlinear neutral term, variable delay, oscillation

中图分类号: