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Zbl 1228.34090
Barreira, Luis; Valls, Claudia
Admissibility for nonuniform exponential contractions. (English)
[J] J. Differ. Equations 249, No. 11, 2889-2904 (2010). ISSN 0022-0396

The connections between various concepts of admissibility and asymptotic properties of evolution equations are a topic around which various research directions have been developed. In this paper, the authors present an interesting and complete study concerning the relation between nonuniform exponential stability and admissibility of Banach function spaces. The main results extend those from previous studies in this topic, pointing out a collection of potential admissibility spaces for the investigation of nonuniform stability.
[Bogdan Sasu (Timişoara)]

MSC 2000:: *34G10 Linear ODE in abstract spaces
34D09 Dichotomy, trichotomy
37D25 Nonuniformly hyperbolic systems
34C11 Qualitative theory of solutions of ODE: Growth, etc.

Keywords: nonuniform exponential dichotomy; admissibility

Cited in: Zbl 1242.34114 Zbl pre06011212

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