矢量场方向导数和时标正则曲线

Directional Derivative of the Vector Field and Regular Curves on Time Scales

研究了一类参数方程的曲线,其参变量表示为所谓时标(time scale),该时标是所有实数的集的一个任意闭子集.引入了相应于矢量场的方向导数.

The general idea is to study curves where in the parametric equations the parameter varies in a so-called time scale, which may be an arbitrary dosed subset of the set of all real numbers. The directional derivative according to the vector fields was introduced.