An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators
Preda, Ciprian ; Preda, Petre
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 705-715 / Harvested from Project Euclid
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A necessary and sufficient condition for the uniform exponential dichotomy is pointed out using a discrete-time argument. Thus are extended known results due to Barbashin, Datko, Lovelady, Pazy[13], Preda.
Publié le : 2010-08-15
Classification:  evolution families,  uniform exponential dichotomy,  34D05,  47D06 
@article{1290608196,
     author = {Preda, Ciprian and Preda, Petre},
     title = {An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 705-715},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1290608196}
}

Preda, Ciprian; Preda, Petre. An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  705-715. http://gdmltest.u-ga.fr/item/1290608196/