On the Perron Problem for the Exponential Dichotomy of C0-semigroups
P. Preda, A. Pogan and C. Preda
Abstract. 
In the present paper we give a sufficient
condition for the
exponential dichotomy of a $C_0$-semigroup in terms of
"Perron-type"
theorems in the case when we don't have the requirement of
invertibility on the kernel of the dichotomic projection.
AMS subject classification: 
34D05, 34D20, 47D06;
Keywords: 
Semigroup, exponential dichotomy, admissibility
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