时间测度链上具非线性中立项的二阶动力方程的振动性

doi:10.7523/j.issn.2095-6134.2012.6.002

中国科学院大学学报 ›› 2012, Vol. ›› Issue (6): 731-737.DOI: 10.7523/j.issn.2095-6134.2012.6.002

时间测度链上具非线性中立项的二阶动力方程的振动性

杨甲山

邵阳学院理学与信息科学系, 湖南邵阳 422004

收稿日期:2011-05-24 修回日期:2011-07-19 发布日期:2012-11-15
通讯作者: 杨甲山
基金资助:
湖南省教育厅自然科学基金重点项目(09A082)资助 

Oscillation of second-order dynamic equations with nonlinear neutral term on time scales

YANG Jia-Shan

Department of Science and Information, Shaoyang University, Shaoyang 422004, Hunan, China

Received:2011-05-24 Revised:2011-07-19 Published:2012-11-15

摘要/Abstract

摘要： 研究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, 得到该方程振动的几个充分条件. 给出了一些例子以说明主要结论.

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: Oscillation of second-order nonlinear variable delay dynamic equations with nonlinear neutral term on time scales is discussed. By using the time scale theory and some necessary analytic techniques and by introducing parameter functions and the generalized Riccati transformation, some sufficient conditions for the oscillation of the equations are obtained. Some examples are given to illustrate our main conclusions.

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

中图分类号:

O175.7

杨甲山. 时间测度链上具非线性中立项的二阶动力方程的振动性[J]. 中国科学院大学学报, 2012, (6): 731-737.

YANG Jia-Shan. Oscillation of second-order dynamic equations with nonlinear neutral term on time scales[J]. , 2012, (6): 731-737.

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时间测度链上具非线性中立项的二阶动力方程的振动性

Oscillation of second-order dynamic equations with nonlinear neutral term on time scales

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