一类时间尺度上二阶带阻尼项及强迫项的动态方程振动性

Oscillation of Second Order Nonlinear Forced Dynamic Equations with Damping on Time Scales

基于Riccati变换及不等式技巧,研究了一类时间尺度上带阻尼项及强迫项的二阶动态方程的振动性,推广和改进了已有文献的相关结果。最后,给出了例子说明所得主要结论的有效性和适应性。

The Riccati transformation technique is used to establish some new oscillation criteria for the second order nonlinear forced dynamic equations with damping on time scale.Some existing results are generalized and extended.Some examples are given to illustrate the validity and adaptability of the main conclusion.