Differentiability of Palmer’s Linearization Theorem and Converse Result for Density Functions
نویسندگان
چکیده
We study differentiability properties in a particular case of the Palmer’s linearization Theorem, which states the existence of an homeomorphism H between the solutions of a linear ODE system having exponential dichotomy and a quasilinear system. Indeed, if the linear system is uniformly asymptotically stable, sufficient conditions ensuring that H is a C preserving orientation diffeomorphism are given. As an application, we generalize a converse result of density functions for a nonlinear system in the nonautonomous case.
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