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math-ph2023★ 1 cited
Conservation laws of mean field games equations
Roman Kozlov
Mean field games equations are examined for conservation laws. The system of mean field games equations consists of two partial differential equations: the Hamilton-Jacobi-Bellman…
math-ph2023
Symmetries and first integrals for variational ODEs with delay
V. A. Dorodnitsyn, R. V. Kozlov, S. V. Meleshko
A Lagrangian formalism for variational second-order delay ordinary differential equations (DODEs) is developed. The Noether operator identity for a DODE is established, which relat…
math-ph2023★ 3 cited
Lagrangian formalism and Noether-type theorems for second-order delay ODEs
Vladimir A. Dorodnitsyn, Roman V. Kozlov, Sergey V. Meleshko
The Lagrangian formalism for variational problem for second-order delay ordinary differential equations (DODEs) is developed. The Noether-type operator identities and theorems for…