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}{…