IJPAM: Volume 75, No. 3 (2012)
ON NONUNIFORM POLYNOMIAL DICHOTOMY OF
EVOLUTION OPERATORS IN BANACH SPACES
EVOLUTION OPERATORS IN BANACH SPACES
Magda Luminiţa Rămneanţu
, Traian Ceauşu
, Mihail Megan
Departament of Mathematics
West University of Timişoara
Bd. V. Parvan, Nr.4, 300223, Timişoara, ROMANIA
Academy of Romanian Scientists
No.54, Independenţei Str., 050094, Bucharest, ROMANIA




West University of Timişoara
Bd. V. Parvan, Nr.4, 300223, Timişoara, ROMANIA

No.54, Independenţei Str., 050094, Bucharest, ROMANIA
Abstract. In this paper we study two nonuniform polynomial dichotomy
concepts for evolution operators in Banach spaces. Our main
objective is to give integral characterizations for nonuniform
polynomial dichotomies. As for applications we obtain
characterizations of these concepts in terms of Lyapunov
functions. Some illustrating examples are given.
Received: September 19, 2011
AMS Subject Classification: 34D05, 34E05
Key Words and Phrases: evolution operator, nonuniform polynomial dichotomy
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 75
Issue: 3