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STUDIA MATHEMATICA - Issue no. 4 / 2011 | |||||||
Article: |
ON (h, k)–TRICHOTOMY FOR SKEW-EVOLUTION SEMIFLOWS IN BANACH SPACES. Authors: CODRUŢA STOICA, MIHAIL MEGAN. |
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Abstract: In this paper we define the notion of (h, k)–trichotomy for skew-evolution semiflows and we emphasize connections between various other concepts of trichotomy on infinite dimensional spaces, as uniform exponential trichotomy, exponential trichotomy and Barreira-Valls exponential trichotomy. The approach is motivated by various examples. Some characterizations for the newly introduced concept are also provided. Mathematics Subject Classification (2010): 34D05, 34D09, 93D20. Keywords: skew-evolution semiflow, uniform exponential trichotomy, exponential trichotomy, Barreira-Valls exponential trichotomy, (h, k)–trichotomy. |
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