Work

Lipschitz stability of solution sets of Young differential inclusion

Year: 2026

Type: article

Abstract: We investigate the Lipschitz stability of solution sets to Young differential inclusions driven by families of Hölder continuous functions. The main analytical tool is an appropriate version of Filippov’s Theorem formulated for differential inclusions governed by set-valued Young integrals. Both local and global variants of this theorem are established and subsequently employed to derive Lipschitz-type dependence of solution sets on the right-hand side of the inclusion. The considered framework covers, in particular, differential inclusions driven by fractional Brownian motion. The proofs are based on selection and approximation techniques.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-026-01267-3

Authors: Mariusz Michta, Jerzy Motyl

Institution: University of Zielona Góra

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W7204136152