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Differentiability of Palmer's linearization theorem and converse result for density functions

  • Published:2015-11 Issue:9 Volume:259 Page:4634-4650
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Castañeda Álvaro,Robledo Gonzalo

Funder

Fondo Nacional de Desarrollo Científico y Tecnológico

Comisión Nacional de Investigación Científica y Tecnológica

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference26 articles.

1. Introduction to Linear Systems of Differential Equations;Ya Adrianova,1995

2. Asymptotic equivalence of differential equations and asymptotically almost periodic solutions;Akhmet;Nonlinear Anal.,2007

3. Some remarks on density functions for dual Lyapunov methods;Angeli,2003

4. A simple proof of the Grobman–Hartman theorem for nonuniformly hyperbolic flows;Barreira;Nonlinear Anal.,2011

5. Stability Theory of Differential Equations;Bellman,1953

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2. Stability of nonautonomous systems on Fréchet spaces;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2024-05-06

3. A note on the differentiability of discrete Palmer's linearization;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-03-22

4. Nonuniform contractions and converse stability results via a smooth topological equivalence;Dynamical Systems;2023-01-22

5. Smooth linearization of nonautonomous coupled systems;Discrete and Continuous Dynamical Systems - B;2023
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