Ordinary dichotomy and global linearization

DOI10.1016/J.NA.2008.03.060zbMath1163.34363OpenAlexW2037707083MaRDI QIDQ1006710

Liangping Jiang

Publication date: 25 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.060

zbMATH Keywords

ordinary dichotomy(strongly)equivalent function(strongly)topologically equivalent

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (5)

Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales ⋮ Smooth linearization of nonautonomous coupled systems ⋮ A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY ⋮ Linearization of impulsive differential equations with ordinary dichotomy ⋮ Linearization and Hölder continuity for nonautonomous systems

Cites Work

• Improvement of Hartman's linearization theorem
• Generalized exponential dichotomy and global linearization
• Strongly topological linearization with generalized exponential dichotomy
• A characterization of exponential dichotomy in terms of topological equivalence
• Dichotomies in stability theory
• The structurally stable linear systems on the half-line are those with exponential dichotomies
• On Hartman's linearization theorem and Palmer's linearization theorem
• A generalization of Hartman's linearization theorem
• Global topological linearization in critical case

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