THE RELATION BETWEEN THE UNIFORM EXPONENTIAL DICHOTOMY AND THE UNIFORM ADMISSIBILITY OF THE PAIR (lp, lq) on ⊝

DOI10.1142/S1793557110000465zbMath1232.34080MaRDI QIDQ3067248

Pham Viet Hai

Publication date: 20 January 2011

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

exponential dichotomyuniform admissibilitylinear skew-product semiflow

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Discrete version of topics in analysis (39A12) Asymptotic properties of solutions to ordinary differential equations (34D05) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (2)

Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ On the polynomial stability of evolution families

Cites Work

• Exponential dichotomy and \((\ell^p,\ell^q)\)-admissibility on the half-line
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Dynamical spectrum for time dependent linear systems in Banach spaces
• Unbounded perturbation of the exponential dichotomy for evolution equations
• Evolution semigroups, translation algebras, and exponential dichotomy of cocycles
• Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
• Remarks on the Control of Discrete-Time Distributed Parameter Systems

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