Two-point boundary value problems for quasi-monotone dynamical systems
Classical Analysis and ODEs
2025-10-06 v2 Optimization and Control
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.
Cite
@article{arxiv.2508.01305,
title = {Two-point boundary value problems for quasi-monotone dynamical systems},
author = {Lorena Bociu and Madhumita Roy and Khai T. Nguyen},
journal= {arXiv preprint arXiv:2508.01305},
year = {2025}
}
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