时间尺度上具阻尼项的二阶半线性时滞动力方程的振动准则

Oscillation Criteria for Second-order Half-linear Delay Dynamic Equations with Damping on Time Scales

本文讨论一类时间尺度上具阻尼项的二阶半线性时滞动力方程解的振动性,利用广义Riccati变换和不等式技巧,在一定条件下,建立了新的振动准则,这些准则改进和推广已知的一些结论.

We discuss oscillation criteria for second-order half-linear delay dynamic equations with damping on a time scale,by using the generalized Riccati transformation and the inequality technique. Under certain conditions,we establish new oscillation criteria. Our results improve and extend some known results.