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

Discrete and Continuous Dynamical Systems 2026 Open access

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Authors: Lorena Bociu, Khai T. Nguyen, Madhumita Roy
DOI: 10.3934/dcds.2026088
Cited by: 0

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 solutions to a class of mean field games with a continuum of players.

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Stability and Controllability of Differential Equations Contact Mechanics and Variational Inequalities

Publication details

Journal / source
Discrete and Continuous Dynamical Systems
Volume
55
Issue
0
Pages
306–325
Publication date
1 January 2026
Language
EN