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Pozitsionnye differentsial’nye igry (Positional Differential Games)
N.Yu. Lukoyanov, A.R. Plaksin (2020)
Hamilton–Jacobi equations for neutral-type systems: inequalities for directional derivatives of minimax solutionsMinimax Theory Appl., 5
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10.1007/978-94-017-1630-7Functional Differential Equations. Application of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$i $$\end{document}-Smooth Calculus
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A. Subbotin (1994)
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Functional Differential Equations
N.Yu. Lukoyanov, A.R. Plaksin (2019)
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A. Plaksin (2019)
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N. Lukoyanov (2008)
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A. Subbotin (1995)
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Upravlenie dinamicheskoi sistemoi (Control of a Dynamical System), Sverdlovsk
We study the Hamilton–Jacobi equation with coinvariant derivatives corresponding todynamical systems of the neutral type. Moreover, in contrast to the previous papers, theHamiltonian in the equation may not satisfy the homogeneity condition. We give a definition ofa minimax (generalized) solution of this equation. The existence and uniqueness of this solution isproved, and its consistency with the concept of solution in the classical sense is established. Theproofs are based on the choice of a suitable Lyapunov–Krasovskii functional.
Differential Equations – Springer Journals
Published: Nov 1, 2021
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