66 citations · 233 across the 22 of their papers we have counts for
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Delay ordinary differential equations: from Lagrangian approach to Hamiltonian approach
Vladimir Dorodnitsyn, Roman Kozlov, Sergey Meleshko
The paper suggests a Hamiltonian formulation for delay ordinary differential equations (DODEs). Such equations are related to DODEs with a Lagrangian formulation via a delay analog…
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…
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…
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…
Plane one-dimensional MHD flows: symmetries and conservation laws
Vladimir A. Dorodnitsyn, Evgeniy I. Kaptsov, Roman V. Kozlov +2
The paper considers the plane one-dimensional flows for magnetohydrodynamics in the mass Lagrangian coordinates. The inviscid, thermally non-conducting medium is modeled by a polyt…
Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations
Giuseppe Gaeta, Roman Kozlov, Francesco Spadaro
We consider several aspects of conjugating symmetry methods, including the method of invariants, with an asymptotic approach. In particular we consider how to extend to the stochas…