Geodesic
Datko-Perron's Problem for Dichotomy of Differential Equations
Tiberiu Barta1 ; Istvan Ion1 ; Petre Preda1 ; Tiberiu Barta ; Istvan Ion ; Petre Preda
1West University of Timisoara, Bd. V. Parvan, no. 4, Timisoara 300223
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 9-22 
Tiberiu Barta; Istvan Ion; Petre Preda; Tiberiu Barta; Istvan Ion; Petre Preda. Datko-Perron's Problem  for Dichotomy of Differential Equations. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 1, pp. 9-22. http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a1/
@article{AMUC_2017_86_1_a1,
     author = {Tiberiu Barta and Istvan Ion and Petre Preda and Tiberiu Barta and Istvan Ion and Petre Preda},
     title = { Datko-Perron's {Problem}  for {Dichotomy} of {Differential} {Equations}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {9--22},
     year = {2017},
     volume = {86},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2017_86_1_a1/}
}
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Voir la notice de l'article provenant de la source Comenius University

The purpose of this paper is to show that in the study ofdichotomy for evolutionary family generated by dierential systems, using the Perron's method, it is enough to consider as an output space L&\infty, because when the output space is L^q; q < \infty it can be used the Datko's theorem( see P. Preda, M. Megan [15]).