Publication Cover
Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 4
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Original Articles

Set Differential Equations and Flow Invariance

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Pages 357-368 | Published online: 09 Sep 2010
 

The study of Set Differential Equations is initiated in the metric space of nonempty, compact, convex subsets of , endowed with the Hausdorff metric. The existence of a generalized solution for the associated initial value problems is proved when the function involved does not satisfy any continuity assumptions. Utilizing the ideas of nonsmooth analysis, a proximal aiming condition is employed to investigate the weak and strong invariance for these solutions.

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