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Notes on the Global Attractors for Semigroup
Suzhou Vocational University, Suzhou, China
Department of Mathematics, Soochow University, Suzhou, China
- 1 Suzhou Vocational University, Suzhou, China
- 2 Department of Mathematics, Soochow University, Suzhou, China
International Journal of Modern Nonlinear Theory and Application·Volume 02 (2013)·Pages 219–222·Published 29 November 2013·DOI10.4236/ijmnta.2013.24030
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Abstract
First we introduce two necessary and sufficient conditions which ensure the existence of the global attractors for semigroup. Then we recall the concept of measure of noncompactness of a set and recapitulate its basic properties. Finally, we prove that these two conditions are equivalent directly.
KeywordsNatural Global AttractorsMeasure of NoncompactnessAsymptotic Compactness<i>w</i>-Limit Compact
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