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math.CA2025
Stable invariant manifold for generalized ODEs with applications to measure differential equations
Weijie Lu, Paolo Piccione, Yonghui Xia
This paper establishes the stable invariant manifold for a new kind of differential equations defined by Kurzweil integral, so-called {\em generalized ODEs} on a Banach space. The…
math.CA2023
Linearization and Hölder continuity of generalized ODEs with application to measure differential equations
Weijie Lu, Yonghui Xia
In this paper, we study the topological conjugacy between the linear generalized ODEs (for short, GODEs) \[ \frac{dx}{dτ}=D[A(t)x] \] and their nonlinear perturbation \[ \frac{dx}{…