| 时间测度链上具变时滞的二阶非线性动力方程的强迫振动 |
| |
| 引用本文： | 杨甲山.时间测度链上具变时滞的二阶非线性动力方程的强迫振动[J].山西大学学报(自然科学版),2011,34(4):543-547. |
| |
| 作者姓名： | 杨甲山 |
| |
| 作者单位： | 邵阳学院理学与信息科学系,湖南邵阳,422004 |
| |
| 基金项目： | 湖南省教育厅科研重点项目(09A082) |
| |
| 摘 要： | 研究了时间测度链上的一类具有变时滞的二阶强迫非线性动力方程的振动性质,借助时间测度链上的有关理论,通过引入参数函数,并结合Riccati变换,得到了该类方程弱振动的充分条件,并同时得到了该类方程存在有界的最终正解的判别准则.
|
| 关 键 词： | 时间测度链 强迫动力方程 变时滞 △-导数 |
Forced Oscillation of Second-order Nonlinear Dynamic Equation with Variable Delay on Time Scales |
| |
| YANG Jia-shan.Forced Oscillation of Second-order Nonlinear Dynamic Equation with Variable Delay on Time Scales[J].Journal of Shanxi University (Natural Science Edition),2011,34(4):543-547. |
| |
| Authors: | YANG Jia-shan |
| |
| Institution: | YANG Jia-shan(Department of Science and Information,Shaoyang University,Shaoyang 422004,China) |
| |
| Abstract: | Oscillation for a class of the second order forced nonlinear dynamic equation with variable delay on time scales is considered.Using the time scales theory and by introducing parameter function and the generalized Riccati transformation,some sufficient conditions of weak oscillation of all solutions for the equation are established,and existence criteria for bounded eventually positive solutions for this equation is also achieved. |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
