Existence of solutions for second-order perturbed nonconvex sweeping process

Existence of solutions for second-order perturbed nonconvex sweeping process

We prove a theorem on the existence solutions for a second-order differential inclusion governed by a class of nonconvex sweeping process. Our result improves and generalizes many results from the literature of sweeping process.

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Veröffentlicht in:Computers & mathematics with applications (1987) 2011-08, Vol.62 (4), p.1736-1744
Hauptverfasser: Azzam-Laouir, Dalila, Izza, Sabrina
Format: Artikel
Sprache:eng
Schlagworte:
Differential inclusion
Existence theorems
Fixed point
Inclusions
Mathematical models
Sweeping
Sweeping process
Theorems
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Beschreibung
Zusammenfassung:We prove a theorem on the existence solutions for a second-order differential inclusion governed by a class of nonconvex sweeping process. Our result improves and generalizes many results from the literature of sweeping process.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.06.015