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Lagrangian formalism and Noether-type theorems for second-order delay ODEs

Published 11 Feb 2023 in math-ph, math.MP, and nlin.SI | (2302.05589v1)

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.

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