27 citations · 80 across the 10 of their papers we have counts for
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math.CA2022★ 4 cited
Generalized evolution semigroups and general dichotomies
Nicolae Lupa, Liviu Horia Popescu
We introduce a special class of real semiflows, which is used to define a general type of evolution semigroups, associated to not necessarily exponentially bounded evolution famili…
math.CA2010★ 27 cited
Exponential dichotomies of evolution operators in Banach spaces
Nicolae Lupa, Mihail Megan
This paper considers three dichotomy concepts (exponential dichotomy, uniform exponential dichotomy and strong exponential dichotomy) in the general context of non-invertible evolu…
math.CA2010★ 2 cited
Necessary and sufficient conditions for weak exponential instability of evolution operators
Nicolae Lupa
In this paper we give some necessary and sufficient characterizations for weak exponential instability of evolution operators. Variants for the classical results due to Datko and L…