时间标度上的Taylor公式及链式法则

Taylor's Formula and Chain Rules On Time Scales

致力于研究时间标度上二元函数的链式法则,以期其在最优控制上有广泛的应用.同时,对一元函数的泰勒公式给出一种新的较为简单的证明方法.

In this paper we devote to the study of chain rule of bivariate function on time scales, which will be expected to be extensively used in optimal control. Meanwhile, we will also propose a new and comparatively simple approach for Taylor＇s Formula.