Preda, P.; Pogan, A.; Preda, C. On the Perron problem for the exponential dichotomy of \(C_0\)-semigroups. (English) Zbl 1097.34532 Acta Math. Univ. Comen., New Ser. 72, No. 2, 207-212 (2003). It is shown that a \(C_0\)-semigroup \(\{T(t)\}_{t\geq 0}\) on a Banach space has an exponential dichotomy when it satisfies a Perron condition. The invertibility of the dichotomic projection is not required. Reviewer: Michal Fečkan (Bratislava ) Cited in 3 Documents MSC: 34D09 Dichotomy, trichotomy of solutions to ordinary differential equations 34D05 Asymptotic properties of solutions to ordinary differential equations 34G10 Linear differential equations in abstract spaces 47D06 One-parameter semigroups and linear evolution equations Keywords:semigroup; exponential dichotomy; admissibility PDFBibTeX XMLCite \textit{P. Preda} et al., Acta Math. Univ. Comen., New Ser. 72, No. 2, 207--212 (2003; Zbl 1097.34532) Full Text: EuDML EMIS