3 citations · 9 across the 17 of their papers we have counts for
24 papers
Nonlocal balance equation: representation and approximation of solution
Yurii Averboukh
We study a nonlocal balance equation that describes the evolution of a system consisting of infinitely many identical particles those move along a deterministic dynamics and can al…
Approximation of deterministic mean field type control systems
Yurii Averboukh
The paper is concerned with the approximation of the deterministic the mean field type control system by a mean field Markov chain. It turns out that the dynamics of the distributi…
Lipschitz Stability Estimate and Uniqueness in the Retrospective Analysis for The Mean Field Games System via Two Carleman Estimates
Michael V. Klibanov, Yurii Averboukh
A retrospective analysis process for the mean field games system (MFGS) is considered. For the first time, Carleman estimates are applied to the analysis of the MFGS. Two new Carle…
Stability analysis of mean field type control system with major agent
Yurii Averboukh
The paper is concerned with the study of a control system consisting of one major agent and many identical minor agents in the limit case when the number of agents tends to infinit…
Zero-sum continuous-time Markov games with one-side stopping
Yurii Averboukh
The paper is concerned with a variant of the continuous-time finite state Markov game of control and stopping where both players can affect transition rates, while only one player…
Pontryagin maximum principle for the deterministic mean field type optimal control problem via the Lagrangian approach
Yurii Averboukh, Dmitry Khlopin
We study necessary optimality conditions for the deterministic mean field type free-endpoint optimal control problem. Our study relies on the Lagrangian approach that treats the me…