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

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Language, Humans, and the HumanitiesWe shall investigate whether differential inclusions . do have trajectories satisfying the property . where . Trajectories x(·) of differential inclusion (1) satisfying (2) will be called “monotone trajectories” (with respect to . and .).

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Adjourn

Set-Valued Maps,We gather in this chapter the properties of set-valued maps which are needed for the study of differential inclusions.

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Existence of Solutions to Differential Inclusions,In what follows we shall deal with the existence and properties of solutions to differential inclusions of the form .or

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Differential Inclusions with Maximal Monotone Maps,We devote this chapter to a very important class of differential inclusions . where .(.) ? ?.(.)is a so-called “maximal monotone” set-valued map.

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Viability Theory: The Nonconvex Case,We devote this chapter to general Viability Theory and we postpone to the next chapter the further results obtained when we assume that the viability subset is convex.

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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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