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Aurelian Cernea: A viability result for a class of nonconvex dif-ferential inclusions with memory, p.111-117

Abstract:

We prove the existence of viable solutions for an autonomus functional differential inclusion in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in the Clarke subdifferential of an uniformly regular function.

Key Words: Differential inclusion with memory uniform regular function, viable solution, Clarke's subdifferential.

2000 Mathematics Subject Classification: Primary: 34A60.

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