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   Generalized exponential trichotomies for abstract evolution operators on the real line  
   
نویسنده lupa n. ,megan m.
منبع journal of function spaces - 2013 - دوره : 2013 - شماره : 0
چکیده    This paper considers two trichotomy concepts in the context of abstract evolution operators. the first one extends the notion of exponential trichotomy in the sense of elaydi-hajek for differential equations to abstract evolution operators,and it is a natural extension of the generalized exponential dichotomy considered in the paper by jiang (2006). the second concept is dual in a certain sense to the first one. we prove that these types of exponential trichotomy imply the existence of generalized exponential dichotomy on both half-lines. we emphasize that we do not assume the invertibility of the evolution operators on the whole space x (unlike the case of evolution operators generated by differential equations). © 2013 nicolae lupa and mihail megan.
آدرس faculty of economics and business administration,west university of timişoara,boulevard pestalozzi 16, Romania, academy of romanian scientists,independenţei 54,050094 bucharest aos.ro,romania,faculty of mathematics and computer science,west university of timişoara,boulevard v. pârvan 4, Romania
 
     
   
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