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DIRECTIONAL DERIVATIVE OF VECTOR FIELD AND REGULAR CURVES ON TIME SCALES

DIRECTIONAL DERIVATIVE OF VECTOR FIELD AND REGULAR CURVES ON TIME SCALES
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摘要 The general idea in this paper is to study curves of the parametric equations where the parameter varies in a so-called time scale, which may be an arbitrary closed subset of the set of all real numbers. We introduce the directional derivative according to the vector fields. The general idea in this paper is to study curves of the parametric equations where the parameter varies in a so-called time scale, which may be an arbitrary closed subset of the set of all real numbers. We introduce the directional derivative according to the vector fields.
作者 Emin zyilmaz
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第10期1349-1360,共12页 应用数学和力学(英文版)
关键词 time scale nabla derivative regular curve tangent line vector field time scale nabla derivative regular curve tangent line vector field
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参考文献5

  • 1Aulbach B,Hilger S.Linear dynamic processes with inhomogeneous time scale[].Nonlinear Dynamics and Quantum Dynamical Systems.1990
  • 2Ahlbrandt C D,Bohner M,Ridenhour J.Hamiltonian systems on time scales[].Journal of Mathematical Analysis and Applications.2000
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  • 4Bohner M,Guseinov G.Partial differentiation on time scales[].Dynamical Systems.2003
  • 5Hoffacker J.Basic partial dynamic equations on time scales[].Journal of Difference Equations and Applications.2002

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