Lagrangian formalism and Noether-type theorems for second-order delay ODEs
Mathematical Physics
2023-08-16 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
The Lagrangian formalism for variational problem for second-order delay ordinary differential equations (DODEs) is developed. The Noether-type operator identities and theorems for DODEs of second order are presented. Algebraic construction of integrals for DODEs based on symmetries are demonstrated by examples.
Cite
@article{arxiv.2302.05589,
title = {Lagrangian formalism and Noether-type theorems for second-order delay ODEs},
author = {Vladimir A. Dorodnitsyn and Roman V. Kozlov and Sergey V. Meleshko},
journal= {arXiv preprint arXiv:2302.05589},
year = {2023}
}