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On the generalized retract method for differential inclusions with constraints. (English) Zbl 1065.34011

The author studies differential inclusions on closed subsets of Euclidean spaces. In particular, the variability problem is considered. Two topological aproaches are presented. Namely, the so-called homological approach and the approach based on deformation retracts. Note, that the second approach is motivated by the well-known Ważewski’s retraction method.

MSC:

34A60 Ordinary differential inclusions
54C65 Selections in general topology
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