Multitime hybrid differential games with curvilinear integral functional
| Autor: | Udrişte, Constantin, Otobîcu, Elena-Laura, Ţevy, Ionel |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | Multitime differential games are related to the modeling and analysis of cooperation or conflict in the context of a multitime dynamical systems. Their theory involves either a curvilinear integral functional or a multiple integral functional and an $m$-flow as constraint. The aim of this paper is to give original results regarding multitime hybrid differential games with curvilinear integral functional constrained by an $m$-flow: fundamental properties of multitime upper and lower values, viscosity solutions of multitime (HJIU) PDEs, representation formula of viscosity solutions for multitime (HJ) PDEs, and max-min representations. Comment: 17 pages. arXiv admin note: text overlap with arXiv:1702.01553 |
| Databáze: | arXiv |
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