Lagrangian formalism and Noether-type theorems for second-order delay ODEs
arXiv:2302.05589 · doi:10.1088/1751-8121/ace5f6
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.