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Directional derivative of vector field and regular curves on time scales

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Abstract

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.

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Correspondence to Emin Özyilmaz.

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Communicated by GUO Mao-zheng

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Özyilmaz, E. Directional derivative of vector field and regular curves on time scales. Appl Math Mech 27, 1349–1360 (2006). https://doi.org/10.1007/s10483-006-1007-1

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  • DOI: https://doi.org/10.1007/s10483-006-1007-1

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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