Criteria for exponential dichotomy for triangular systems

DOI10.1016/j.jmaa.2015.03.029zbMath1318.34072OpenAlexW2067601478MaRDI QIDQ2347153

Flaviano Battelli, Kenneth James Palmer

Publication date: 26 May 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.03.029

zbMATH Keywords

exponential dichotomySacker-Sell spectrumtriangular system

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear ordinary differential equations and systems (34A30) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Nonautonomous smooth dynamical systems (37C60)

Related Items (15)

Transit times and mean ages for nonautonomous and autonomous compartmental systems ⋮ Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems ⋮ Necessary and sufficient conditions for assignability of dichotomy spectra of continuous time-varying linear systems ⋮ Almost reducibility of linear difference systems from a spectral point of view ⋮ Exponential dichotomies by Ekeland's variational principle ⋮ Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ Strongly exponentially separated linear systems ⋮ The Bohl spectrum for linear nonautonomous differential equations ⋮ Strongly Exponentially Separated Linear Difference Equations ⋮ Dichotomy spectra of triangular equations ⋮ A spectral dichotomy version of the nonautonomous Markus-Yamabe conjecture ⋮ Nonuniform almost reducibility of nonautonomous linear differential equations ⋮ Proportional local assignability of dichotomy spectrum of one-sided continuous time-varying linear systems ⋮ Assignability of dichotomy spectra for discrete time-varying linear control systems ⋮ Exponential dichotomy for noninvertible linear difference equations: block triangular systems

Cites Work

• Unnamed Item
• Geometric theory of discrete nonautonomous dynamical systems
• Exponential dichotomy, integral separation and diagonalizability of linear systems of ordinary differential equations
• A spectral theory for linear differential systems
• Dichotomies in stability theory
• Stability of nonautonomous differential equations
• Characteristic exponents and diagonally dominant linear differential systems
• Lyapunov and Sacker-Sell spectral intervals
• Dichotomy spectrum for nonautonomous differential equations

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