6533b828fe1ef96bd1288606
RESEARCH PRODUCT
Measure differential inclusions: existence results and minimum problems
Luisa Di PiazzaValeria MarraffaBianca Satcosubject
Statistics and ProbabilityNumerical AnalysisEuclidean spaceApplied MathematicsRegular polygonMeasure (mathematics)Differential inclusionSettore MAT/05 - Analisi MatematicaBounded variationTrajectoryApplied mathematicsGeometry and TopologyMinificationFocus (optics)Measure differential inclusion Bounded variation Pompeiu excess Selection Minimality conditionAnalysisMathematicsdescription
AbstractWe 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 possible 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 solutions of the differential inclusion driven by these measures are deduced, under constraints only on the initial point of the trajectory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-10-10 |