Extending Some Results of L. Barreira and C. Valls to the Case of Linear Skew-Product Semiflows
作者： Florin Bătăran , Ciprian Preda , Petre Preda
DOI: 10.1007/S00025-017-0666-8
关键词: Skew 、 Discrete mathematics 、 Lyapunov function 、 Product (mathematics) 、 Mathematics 、 Exponential dichotomy 、 Exponential growth 、 Exponential function
摘要: In a paper from 2010, Barreira and Valls (J Differ Equ 249:2889–2904, 2010) use Lyapunov norms to set up admissibility conditions for nonuniform exponential contractions. 2011, the same authors extend their analysis case of dichotomy linear evolution families with (non)uniform growth (see in Discret Contin Dyn Syst 30(1):39–53, 2011). Following approach, we are able choose appropriate “test-functions” establish admissibility-type existence strongly continuous cocycle growth.
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