时标上的变时滞二维动力系统的振动性

The Oscillation of Two-Dimensional Delay Dynamic Systems on Time Scales

利用广义Riccati变换和不等式技巧,讨论一类时标上具有两个变时滞的二维动力系统的解的振动性质,得到的振动定理既适用于变时滞二维动力系统,也适用于变时滞二维微分系统和差分系统及某些二阶时滞动力系统。

By the use of generalized Riccati transformation and inequality technique , this paper studies the oscillation of two-dimensional delay dynamic systems on time scales .Our results not only unify the oscillation of two-dimensional delay differential systems on time scales , but also include the oscillation results for delay differential systems , providing new oscillation criteria for de-lay difference systems .