English

Optimality conditions for the calculus of variations with higher-order delta derivatives

Optimization and Control 2010-10-05 v1

Abstract

We prove the Euler-Lagrange delta-differential equations for problems of the calculus of variations on arbitrary time scales with delta-integral functionals depending on higher-order delta derivatives.

Keywords

Cite

@article{arxiv.1008.1504,
  title  = {Optimality conditions for the calculus of variations with higher-order delta derivatives},
  author = {Rui A. C. Ferreira and Agnieszka B. Malinowska and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1008.1504},
  year   = {2010}
}

Comments

Submitted 26/Jul/2009; Revised 04/Aug/2010; Accepted 09/Aug/2010; for publication in "Applied Mathematics Letters"