Directional \(\nabla\)-derivative and curves on \(n\)-dimensional time scales (Q1014864)
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scientific article; zbMATH DE number 5549568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Directional \(\nabla\)-derivative and curves on \(n\)-dimensional time scales |
scientific article; zbMATH DE number 5549568 |
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Directional \(\nabla\)-derivative and curves on \(n\)-dimensional time scales (English)
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29 April 2009
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This paper deals with a differential calculus for multivariable functions on \(n\)-dimensional time scales. The authors, firstly, introduce partial nabla derivatives for multivariable functions on \(n\)-dimensional time scales and give a chain rule for them. Then, they investigate some properties of directional nabla derivative and define the tangent line at any point of a \(\nabla\)-regular curve on \(n\)-dimensional time scales.
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time scale
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nabla derivative
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directional derivative
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