Two-point boundary value problems for quasi-monotone dynamical systems

Lorena Bociu, Madhumita Roy, Khai T. Nguyen

公開日: 2025/8/2

Abstract

This paper studies the existence of minimal solutions to two-point boundary value problems for quasi-monotone dynamical systems. Specifically, the pointwise infimum of all supersolutions is shown to coincide with the minimal solution. This result is then applied to establish a non-uniqueness result for strong stable solutions to a class of mean field games with a continuum of players.

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