具有曲线积分泛函的多时间混合微分对策
Multitime hybrid differential games with curvilinear integral functional
摘要：
多时间微分对策是在多时间动力系统的背景下对合作或冲突进行建模和分析。他们的理论涉及曲线积分泛函或多重积分泛函和$m$ -流作为约束。本文的目的是给出关于曲线积分泛函受$m$ -流约束的多时间混合微分对策的原创性结果：多时间上下值的基本性质，多时间（HJ）偏微分方程的黏性解，多时间（HJ）偏微分方程的黏性解的表示公式，以及max-min表示.
英文摘要：
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.
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