Two-point boundary value problems for quasi-monotone dynamical systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908574112808960 |
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| author | Bociu, Lorena Roy, Madhumita Nguyen, Khai T. |
| author_facet | Bociu, Lorena Roy, Madhumita Nguyen, Khai T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-point boundary value problems for quasi-monotone dynamical systems Bociu, Lorena Roy, Madhumita Nguyen, Khai T. Classical Analysis and ODEs Optimization and Control 34C12, 91A16 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. |
| title | Two-point boundary value problems for quasi-monotone dynamical systems |
| topic | Classical Analysis and ODEs Optimization and Control 34C12, 91A16 |
| url | https://arxiv.org/abs/2508.01305 |