{"ID":2887585,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.01305","arxiv_id":"2508.01305","title":"Two-point boundary value problems for quasi-monotone dynamical systems","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.","short_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 so...","url_abs":"https://arxiv.org/abs/2508.01305","url_pdf":"https://arxiv.org/pdf/2508.01305v2","authors":"[\"Lorena Bociu\",\"Madhumita Roy\",\"Khai T. Nguyen\"]","published":"2025-08-02T10:35:47Z","proceeding":"math.CA","tasks":"[\"math.CA\",\"math.OC\"]","methods":"[]","has_code":false}