Individual Nonuniform Dichotomy and Admissibility for Linear Skew-Products Semiflows over a Semiflow
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 13-21
Oana Romina Onofrei; Petre Preda; Oana Romina Onofrei; Petre Preda. Individual Nonuniform Dichotomy and Admissibility for Linear Skew-Products Semiflows over a Semiflow. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 13-21. http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a1/
@article{AMUC_2019_88_1_a1,
     author = {Oana Romina Onofrei and Petre Preda and Oana Romina Onofrei and Petre Preda},
     title = { Individual {Nonuniform} {Dichotomy} and {Admissibility} for {Linear} {Skew-Products} {Semiflows} over a {Semiflow}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {13--21},
     year = {2019},
     volume = {88},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a1/}
}
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Voir la notice de l'article provenant de la source Comenius University

The aim of this paper is to give a new characterization ofthe admissibility of the pair (L^1;L^{\infty}) to the case of linear skew-product semiflows over semiflows, which satisfy the following conditions: the cocycle \pi = (\Phi \sigma) has no exponential growth and K the constant from the "boundedness" theorem it depends on \theta \in \Theta , by using the "input-output"technique.