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Titlebook: Differential Inclusions; Set-Valued Maps and Jean-Pierre Aubin,Arrigo Cellina Book 1984 Springer-Verlag Berlin Heidelberg 1984 Kontingentg

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Applied Innovation and Technology Managementsary and sufficient when . has convex values for the differential inclusion . to have viable trajectories for all initial states . in ., is also a sufficient condition for . to have an equilibrium state . in ..
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https://doi.org/10.1007/978-94-6209-314-0proof (and without the assumption of completeness of .) in Choquet [1948]. For the history of the concepts of continuity of set valued maps we refer to the forthcoming book by Rockafellar and Wets. For Theorem 2.2 we refer to the book by Spanier [1966]. Proposition 2.2 is taken from Aubin [1979c], w
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Comments,hile Proposition 2.3 comes from the book by Ekeland and Teman [1974]. Theorems 2.4 and 2.5 are well known theorems from Berge [1959]. The important results of Section 3 were obtained independently by Robinson [1976a] and Ursescu [1975].
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Introduction,(.) (the “controls”). Indeed, if we introduce the set-valued map. then solutions to the differential equations (*) are solutions to the “differential inclusion” . in which the controls do not appear explicitely.
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Maximum-Norm Stability and Error Estimates,and their consequences for error bounds for problems with smooth and nonsmooth initial data. The proofs of the stability estimates are considerably more complicated than for those in the ..-norm of our earlier chapters, and will be carried out by a weighted norm technique. For the error estimates we
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