Email this article Minimax solutions of Hamilton–Jacobi functional equations for neutral-type systems
- Authors: Lukoyanov N.Y.1, Plaksin A.R.1
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Issue: Vol 96, No 2 (2017)
- Pages: 445-448
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225365
- DOI: https://doi.org/10.1134/S1064562417050106
- ID: 225365
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Abstract
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.
About the authors
N. Yu. Lukoyanov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch
Author for correspondence.
Email: nyul@imm.uran.ru
Russian Federation, Yekaterinburg, 620990
A. R. Plaksin
Krasovskii Institute of Mathematics and Mechanics, Ural Branch
Email: nyul@imm.uran.ru
Russian Federation, Yekaterinburg, 620990
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