Minimax solutions of Hamilton–Jacobi functional equations for neutral-type systems


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A functional Hamilton–Jacobi equation with covariant derivatives which corresponds to neutral-type dynamical systems is obtained. The definition of a minimax solution of this equation is given. Conditions under which such a solution exists and is unique and well defined are found.

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N. Lukoyanov

Krasovskii Institute of Mathematics and Mechanics, Ural Branch

编辑信件的主要联系方式.
Email: nyul@imm.uran.ru
俄罗斯联邦, Yekaterinburg, 620990

A. Plaksin

Krasovskii Institute of Mathematics and Mechanics, Ural Branch

Email: nyul@imm.uran.ru
俄罗斯联邦, Yekaterinburg, 620990

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