Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/130401
Title: | Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems |
Authors: | Plaksin, A. |
Issue Date: | 2023 |
Publisher: | Springer |
Citation: | Plaksin, A 2023, 'Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems', Applied Mathematics and Optimization, Том. 88, № 1, 6. https://doi.org/10.1007/s00245-023-09980-6 Plaksin, A. (2023). Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems. Applied Mathematics and Optimization, 88(1), [6]. https://doi.org/10.1007/s00245-023-09980-6 |
Abstract: | The paper deals with path-dependent Hamilton–Jacobi equations with a coinvariant derivative which arise in investigations of optimal control problems and differential games for neutral-type systems in Hale’s form. A viscosity (generalized) solution of a Cauchy problem for such equations is considered. The existence, uniqueness, and consistency of the viscosity solution are proved. Equivalent definitions of the viscosity solution, including the definitions of minimax and Dini solutions, are obtained. Application of the results to an optimal control problem for neutral-type systems in Hale’s form are given. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. |
Keywords: | COINVARIANT DERIVATIVES HAMILTON–JACOBI EQUATIONS MINIMAX SOLUTIONS NEUTRAL-TYPE SYSTEMS OPTIMAL CONTROL PROBLEMS VISCOSITY SOLUTIONS OPTIMAL CONTROL SYSTEMS CAUCHY PROBLEMS COINVARIANT DERIVATIVE DIFFERENTIAL GAMES GENERALIZED SOLUTION HAMILTON - JACOBI EQUATIONS MINIMAX MINIMAX SOLUTION NEUTRAL-TYPE SYSTEMS OPTIMAL CONTROL PROBLEM VISCOSITY SOLUTIONS VISCOSITY |
URI: | http://elar.urfu.ru/handle/10995/130401 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 85153105075 |
WOS ID: | 000985464800013 |
PURE ID: | 38484768 |
ISSN: | 0095-4616 |
DOI: | 10.1007/s00245-023-09980-6 |
metadata.dc.description.sponsorship: | Russian Science Foundation, RSF: 21-71-10070 This work is supported by a Grant of the RSF No. 21-71-10070, https://rscf.ru/project/21-71-10070/ |
RSCF project card: | 21-71-10070 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2-s2.0-85153105075.pdf | 348,9 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.