Differentiability of Palmer's linearization theorem and converse result for density functions
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2015Metadata
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Castañeda, Álvaro
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Differentiability of Palmer's linearization theorem and converse result for density functions
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© 2015 Elsevier Inc.We study differentiability properties in a particular case of the Palmer's linearization theorem, which states the existence of a 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<sup>2</sup> 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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URI: https://repositorio.uchile.cl/handle/2250/153951
DOI: 10.1016/j.jde.2015.06.004
ISSN: 10902732
00220396
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Journal of Differential Equations, Volumen 259, Issue 9, 2018, Pages 4634-4650
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