Hamilton-Jacobi functional equations and differential games for neutral-type systems

DOI10.1134/S1064562417060114zbMath1387.49051OpenAlexW2781743516MaRDI QIDQ1707170

N. Yu. Lukoyanov, A. R. Plaksin, Mikhail Gomoyunov

Publication date: 28 March 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417060114

zbMATH Keywords

differential gameminimax solutionneutral-type systemscoinvariant derivativesHamilton-Jacobi functional equation

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23)

Related Items (10)

Minimax and viscosity solutions of Hamilton-Jacobi-Bellman equations for time-delay systems ⋮ Minimax solutions of Hamilton–Jacobi equations with fractional coinvariant derivatives ⋮ Extremal shift to accompanying points in a positional differential game for a fractional-order system ⋮ Dynamic Programming Principle and Hamilton--Jacobi--Bellman Equations for Fractional-Order Systems ⋮ On basic equation of differential games for neutral-type systems ⋮ Path-dependent Hamilton-Jacobi equations: the minimax solutions revised ⋮ Unnamed Item ⋮ Viscosity Solutions of Hamilton--Jacobi--Bellman--Isaacs Equations for Time-Delay Systems ⋮ Solution to a zero-sum differential game with fractional dynamics via approximations ⋮ On differentiability of solutions of fractional differential equations with respect to initial data

Cites Work

• Existence, uniqueness and continuous dependence for hereditary systems
• Viscosity Solutions of Hamilton-Jacobi Equations
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