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Title

The delta-nabla calculus of variations

Authors

Year of publication

2010

Published in

Fasciculi Mathematici

Journal year: 2010 | Journal number: nr 44

Article type

scientific article

Publication language

english

Keywords
EN
  • Euler-Lagrange equations
  • calculus of variations
  • time scales
Abstract

EN The discrete-time, the quantum, and the continuous calculus of variations have been recently unified and extended. Two approaches are followed in the literature: one dealing with minimization of delta integrals; the other dealing with minimization of nabla integrals. Here we propose a more general approach to the calculus of variations on time scales that allows to obtain both delta and nabla results as particular cases.

Pages (from - to)

75 - 83

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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