Second-order sufficient optimality conditions in the calculus of variations
Optimization and Control
2025-02-25 v1
Abstract
Some classic second-order sufficient optimality conditions in the calculus of variations are shown to be equivalent, while also introducing a new equivalent second-order condition which is extremely easy to apply: simply integrate a linear second-order initial value problem and check that the solution is positive over the problem domain.
Cite
@article{arxiv.2412.17166,
title = {Second-order sufficient optimality conditions in the calculus of variations},
author = {William W. Hager},
journal= {arXiv preprint arXiv:2412.17166},
year = {2025}
}