矢量场方向导数和时标正则曲线

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

摘要: 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．
- 时标 /
- 矢量微分算子(nabla)导数 /
- 正则曲线 /
- 切线 /
- 矢量场
Abstract: 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 closed subset of the set of all real numbers. The directional derivative according to the vector fields was introduced.
- time scale /
- nabla derivative /
- regular curve /
- tangent line /
- vector field

[1]	Aulbach B，Hilger S. Linear dynamic processes with inhomogeneous time scale[A].In:Nonlinear Dynamics and Quantum Dynamical Systems[C].Berlin:Akademie Verlag,1990,9—20.
[2]	Ahlbrandt C D, Bohner M, Ridenhour J. Hamiltonian systems on time scales[J].J Math Anal Appl,2000，250：561—578. doi: 10.1006/jmaa.2000.6992
[3]	Hoffacker J. Basic partial dynamic equations on time scales[J].J Difference Equ Appl,2002,8(4):307—319.(In honor of Professor Lynn Erbe) doi: 10.1080/1026190290017379
[4]	Bohner M,Peterson A.Dynamic Equations on Time Scales—An Introduction With Applications[M].Boston: Birkhauser, 2001.
[5]	Bohner M, Guseinov G. Partial differentiation on time scales[J].Dynamic Systems and Applications,2003,12:351—379.

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