3 citations · 3 across the 6 of their papers we have counts for
8 papers · 1 filter
Minimax solutions of path-dependent Hamilton--Jacobi equations under weakened assumptions with application to differential games
Mikhail Gomoyunov
We study minimax (generalized) solutions of a Cauchy problem for a (first-order) path-dependent Hamilton--Jacobi equation with co-invariant derivatives under a right-end boundary c…
Lipschitz Continuity Results for Minimax Solutions of Path-Dependent Hamilton--Jacobi Equations
Mikhail I. Gomoyunov
We consider a Cauchy problem for a (first-order) path-dependent Hamilton--Jacobi equation with coinvariant derivatives and a right-end boundary condition. Such problems arise natur…
Zero-Sum Games for Volterra Integral Equations and Viscosity Solutions of Path-Dependent Hamilton-Jacobi Equations
Mikhail I. Gomoyunov
We consider a game, in which the dynamics is described by a non-linear Volterra integral equation of Hammerstein type with a weakly-singular kernel and the goals of the first and s…
Optimal Control Problems with a Fixed Terminal Time in Linear Fractional-Order Systems
Mikhail Gomoyunov
The paper deals with an optimal control problem in a dynamical system described by a linear differential equation with the Caputo fractional derivative. The goal of control is to m…
On representation formulas for solutions of linear differential equations with Caputo fractional derivatives
Mikhail Gomoyunov
In the paper, a linear differential equation with variable coefficients and a Caputo fractional derivative is considered. For this equation, a Cauchy problem is studied, when an in…
Dynamic programming principle and Hamilton-Jacobi-Bellman equations for fractional-order systems
Mikhail I. Gomoyunov
We consider a Bolza-type optimal control problem for a dynamical system described by a fractional differential equation with the Caputo derivative of an order . The va…