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math.OCJun 3, 2014
authors
  • Agnieszka B. Malinowska
  • Natália Martins
arXiv abstractPDF
paper

The second Noether theorem on time scale

arXiv:1406.0707 · doi:10.1155/2013/675127. 10.1016/j.jmaa.2014.02.009.

Abstract

We extend the second Noether theorem to variational problems on time scales. Our result provides as corollaries the classical second Noether theorem, the second Noether theorem for the h-calculus and the second Noether theorem for the q-calculus.

This is a preprint of a paper whose final and definite form is: Abstract and Applied Analysis 2013, Article ID 675127

References in corpus (11)

  • A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
  • Noether's Theorem on Time Scales
  • Calculus of Variations on Time Scales with Nabla Derivatives
  • A formulation of the fractional Noether-type theorem for multidimensional Lagrangians
  • The Second Euler-Lagrange Equation of Variational Calculus on Time Scales
  • Noether's symmetry theorem for nabla problems of the calculus of variations
  • Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay
  • Extensions of Noether's Second Theorem: from continuous to discrete systems
  • Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales
  • Integral Inequalities and their Applications to the Calculus of Variations on Time Scales
  • A General Backwards Calculus of Variations via Duality
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