We focus on a very general problem in the theory of dynamic systems, namely that of studying measure differential inclusions with varying measures.The multifunction on the right hand side has compact non-necessarily convex values in a real Euclidean space and satisfies bounded variation hypotheses with respect to the Pompeiu excess (and not to the Hausdorff-Pompeiu distance, as usually in literature). This is possi- ble due to the use of interesting selection principles for excess bounded variation set-valued mappings.Conditions for the minimization of a generic functional with respect to a family of measures generated by equiregulated left-continuous, nondecreasing functions and to associated solu- tions of the differential inclusion driven by these measures are deduced, under constraints only on the initial point of the trajectory.
|Numero di pagine||21|
|Rivista||Set-Valued and Variational Analysis|
|Stato di pubblicazione||Published - 2020|
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