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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.
 
       
         
  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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