Geodesic
Hamilton-Jacobi Equations for Neutral-Type Systems: Inequalities for Directional Derivatives of Minimax Solutions
Minimax theory and its applications, Tome 5 (2020) no. 2
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The paper deals with the Hamilton-Jacobi equation in coinvariant derivatives arising in optimal control problems and differential games for dynamical systems described by differential equations of neutral type. On the basis of a suitable definition of directional derivatives, an infinitesimal criterion of the minimax (generalized) solution of this equation is given.
Mots-clés : Optimal control, Hamilton-Jacobi equations, neutral-type systems, minimax solutions 
@article{MTA_2020_5_2_a11,
     author = {Nikolai Yu. Lukoyanov,Anton R. Plaksin},
     title = {Hamilton-Jacobi {Equations} for {Neutral-Type} {Systems:} {Inequalities} for {Directional} {Derivatives} of {Minimax} {Solutions}},
     journal = {Minimax theory and its applications},
     year = {2020},
     volume = {5},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/MTA_2020_5_2_a11/}
}
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Nikolai Yu. Lukoyanov,Anton R. Plaksin. Hamilton-Jacobi Equations for Neutral-Type Systems: Inequalities for Directional Derivatives of Minimax Solutions. Minimax theory and its applications, Tome 5 (2020) no. 2. http://geodesic.mathdoc.fr/item/MTA_2020_5_2_a11/