LI Ting. Set Value Mapping and Its Application[J]. Applied Mathematics and Mechanics, 2006, 27(2): 237-242.
Citation: LI Ting. Set Value Mapping and Its Application[J]. Applied Mathematics and Mechanics, 2006, 27(2): 237-242.

Set Value Mapping and Its Application

  • Received Date: 2004-09-10
  • Rev Recd Date: 2005-08-17
  • Publish Date: 2006-02-15
  • The dynamics of set value mapping is considered. For the upper semi-continuous set value maps, the existence of attractors under some conditions and the upper semi-continuity of attractors under the perturbation were proved. Its application in numerical simulation of differential equation was also considered. The upper semi-continuity of attractors in set value maps under the perturbation was used to show the reasonable of subdivision algorithm and interval arithmetic in numerical simulation of differential equation.
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