English

On central fields in the calculus of variations

Optimization and Control 2018-09-26 v1

Abstract

This article develops sufficient conditions of local optimality for the scalar and vectorial cases of the calculus of variations. The results are established through the construction of stationary fields which keep invariant what we define as the generalized Hilbert integral.

Keywords

Cite

@article{arxiv.1809.09575,
  title  = {On central fields in the calculus of variations},
  author = {Fabio Botelho},
  journal= {arXiv preprint arXiv:1809.09575},
  year   = {2018}
}

Comments

12 pages, typos corrected

R2 v1 2026-06-23T04:18:02.267Z