English

Noether's symmetry theorem for nabla problems of the calculus of variations

Optimization and Control 2010-09-06 v1

Abstract

We prove a Noether-type symmetry theorem and a DuBois-Reymond necessary optimality condition for nabla problems of the calculus of variations on time scales.

Keywords

Cite

@article{arxiv.1007.5178,
  title  = {Noether's symmetry theorem for nabla problems of the calculus of variations},
  author = {Natalia Martins and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1007.5178},
  year   = {2010}
}

Comments

Submitted 20/Oct/2009; Revised 27/Jan/2010; Accepted 28/July/2010; for publication in Applied Mathematics Letters