Existence of Solutions for a Second Order Boundary Value Problem with the Clarke Subdifferential

Existence of Solutions for a Second Order Boundary Value Problem with the Clarke Subdifferential

In this paper, we prove a theorem on the existence of solutions for a second order differential inclusion governed by the Clarke subdifferential of a Lipschitzian function and by a mixed semicontinuous perturbation.

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Veröffentlicht in:Filomat 2017-01, Vol.31 (9), p.2763-2771
Hauptverfasser: Azzam-Laouir, Dalila, Melit, Samira
Format: Artikel
Sprache:eng
Schlagworte:
Banach space
Boundary value problems
Mathematical functions
Topological spaces
Topological theorems
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Beschreibung
Zusammenfassung:In this paper, we prove a theorem on the existence of solutions for a second order differential inclusion governed by the Clarke subdifferential of a Lipschitzian function and by a mixed semicontinuous perturbation.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1709763A