Criteria for exponential dichotomy for triangular systems
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Publication:2347153
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
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)
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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
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- 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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