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arXiv · 2508.01305

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

Lorena Bociu·Madhumita Roy·Khai T. Nguyen
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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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Lorena Bociu, Madhumita Roy, Khai T. Nguyen. 2025-08-02. Two-point boundary value problems for quasi-monotone dynamical systems. https://arxiv.org/abs/2508.01305

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