Notes on the Global Attractors for Semigroup

DOI: 10.4236/ijmnta.2013.24030   PDF   HTML   XML   2,995 Downloads   4,822 Views   Citations


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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


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