The Omega Calculus of Variations
Optimization and Control
2026-01-21 v1
Abstract
We prove a necessary optimality condition of Euler--Lagrange type for the calculus of variations with Omega derivatives, which turns out to be sufficient under jointly convexity of the Lagrangian.
Keywords
Cite
@article{arxiv.2504.08835,
title = {The Omega Calculus of Variations},
author = {Márcia Lemos-Silva and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2504.08835},
year = {2026}
}
Comments
This is a preprint of a paper accepted 27-March-2025 to Applied Mathematics E-Notes (ISSN 1607-2510). Available free at mirror sites of [http://www.math.nthu.edu.tw/~amen/]