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EnglishWe 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.
Valeria Marraffa, Luisa Di Piazza, & Bianca Satco (2020). Measure differential inclusions: existence results and minimum problems. SET-VALUED AND VARIATIONAL ANALYSIS.
| Data di pubblicazione: | 2020 |
| Titolo: | Measure differential inclusions: existence results and minimum problems |
| Autori: | |
| Citazione: | Valeria Marraffa, Luisa Di Piazza, & Bianca Satco (2020). Measure differential inclusions: existence results and minimum problems. SET-VALUED AND VARIATIONAL ANALYSIS. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s11228-020-00559-9 |
| Abstract: | 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. |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Piazza2020_Article_MeasureDifferentialInclusionsE (1).pdf | Versione Editoriale | Open Access Visualizza/Apri |
http://hdl.handle.net/10447/433312
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