Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 13-21
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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/}
}
TY - JOUR
AU - Oana Romina Onofrei
AU - Petre Preda
AU - Oana Romina Onofrei
AU - Petre Preda
TI - Individual Nonuniform Dichotomy and Admissibility for Linear Skew-Products Semiflows over a Semiflow
JO - Acta mathematica Universitatis Comenianae
PY - 2019
SP - 13
EP - 21
VL - 88
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a1/
ID - AMUC_2019_88_1_a1
ER -
%0 Journal Article
%A Oana Romina Onofrei
%A Petre Preda
%A Oana Romina Onofrei
%A Petre Preda
%T Individual Nonuniform Dichotomy and Admissibility for Linear Skew-Products Semiflows over a Semiflow
%J Acta mathematica Universitatis Comenianae
%D 2019
%P 13-21
%V 88
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a1/
%F AMUC_2019_88_1_a1
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.