Green's function, continual weighted composition operators along trajectories, and hyperbolicity of linear extensions for dynamical systems

DOI10.1007/BF02219185zbMath0819.34039MaRDI QIDQ1319922

Yuri Latushkin

Publication date: 7 August 1995

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceGreen functionsexponential dichotomylinear skew-product flowcontinual weighted composition operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Green's functions for ordinary differential equations (34B27) Linear operators on function spaces (general) (47B38) Linear differential equations in abstract spaces (34G10) Topological representations of algebraic systems (54H10) Dynamical systems with hyperbolic behavior (37D99)

Related Items (2)

Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators ⋮ Existence of time homoclinic solutions for a class of discrete wave equations

Cites Work

• Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators
• Analyticity of spectral subbundles
• Existence of dichotomies and invariant splittings for linear differential systems. I
• A spectral theory for linear differential systems
• Dichotomies for linear evolutionary equations in Banach spaces
• Ergodic Properties of Linear Dynamical Systems
• Exponential Dichotomies and Fredholm Operators
• Weighted translation operators and linear extensions of dynamical systems
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