Directional \(\nabla\)-derivative and curves on \(n\)-dimensional time scales

DOI10.1007/s10440-008-9264-9zbMath1221.53007OpenAlexW2007529290MaRDI QIDQ1014864

Nesip Aktan, Mehmet Zeki Sarikaya, Hüseyin Yıldırım, Kāzim İlarslan

Publication date: 29 April 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9264-9

zbMATH Keywords

time scaledirectional derivativenabla derivative

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Additive difference equations (39A10) Continuity and differentiation questions (26B05) Curves in Euclidean and related spaces (53A04)

Related Items (10)

Convex optimization on mixed domains ⋮ A certain class of surfaces on product time scales with interpretations from economics ⋮ The delta nature connection on time scale ⋮ Directional derivatives and subdifferential of convex fuzzy mapping on \(n\)-dimensional time scales and applications to fuzzy programming ⋮ Darboux curves on product time scales ⋮ Discrete normal vector field approximation via time scale calculus ⋮ The Lie brackets on time scales ⋮ Unnamed Item ⋮ Data envelopment analysis with non-L-R type fuzzy data ⋮ The matrix representation of the delta shape operator on time scales

Cites Work

• Directional derivative of vector field and regular curves on time scales
• Hamiltonian systems on time scales
• On Green's functions and positive solutions for boundary value problems on time scales
• On a disconjugacy criterion for second-order dynamic equations on time scales
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