Exponential dichotomy and expansivity

DOI10.1007/S10231-004-0141-5zbMath1162.34330OpenAlexW2019836838MaRDI QIDQ2504895

Kenneth James Palmer

Publication date: 28 September 2006

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/183960/1/08.pdf

zbMATH Keywords

exponential dichotomyhulluniformly noncritical

Mathematics Subject Classification ID

Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (13)

Nonuniform input-output criteria for exponential expansiveness of discrete dynamical systems and applications ⋮ Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ Admissibility and nonuniform exponential dichotomy on the half-line ⋮ AFFINE-PERIODIC SOLUTIONS AND PSEUDO AFFINE-PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH EXPONENTIAL DICHOTOMY AND EXPONENTIAL TRICHOTOMY ⋮ Discrete admissibility and exponential trichotomy of dynamical systems ⋮ Fine structure of the dichotomy spectrum ⋮ Generalized exponential trichotomies for abstract evolution operators on the real line ⋮ Input–output control systems and dichotomy of variational difference equations ⋮ Input-output criteria for stability and expansiveness of dynamical systems ⋮ Input-output admissibility and exponential trichotomy of difference equations ⋮ Integral equations, dichotomy of evolution families on the half-line and applications ⋮ On the asymptotic behavior of discrete dynamical systems -- an ergodic theory approach ⋮ Krein–Rutman type property and exponential separation of a noncompact operator

Cites Work

• Unnamed Item
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• Exponential trichotomy of differential systems
• Existence of dichotomies and invariant splittings for linear differential systems. II
• Dichotomies in stability theory

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