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.
Cite this paper
L. Xu and Y. Shi, "Notes on the Global Attractors for Semigroup," International Journal of Modern Nonlinear Theory and Application
, Vol. 2 No. 4, 2013, pp. 219-222. doi: 10.4236/ijmnta.2013.24030
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