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

深淵

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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