从马瑟理论的角度看一阶均值场博弈的时间周期解

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-09-09 DOI:10.1016/j.jde.2024.09.006

Panrui Ni

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引用次数: 0

摘要

本文证明了一阶均值场博弈非三维时间周期解的存在性。假设存在一个包含在马瑟集合中的非三维周期轨道。整个系统是自治的，具有单调耦合项。此外，还考虑了一阶均值场博弈解向时间周期解的大时间收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Time periodic solutions of first order mean field games from the perspective of Mather theory

In this paper, the existence of non-trivial time periodic solutions of first order mean field games is proved. It is assumed that there is a non-trivial periodic orbit contained in the Mather set. The whole system is autonomous with a monotonic coupling term. Moreover, the large time convergence of solutions of first order mean field games to time periodic solutions is also considered.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics