Existence of Solution, Filippov’s Theorem and Compactness of the Set of Solutions for a Third-Order Differential Inclusion with Three- Point Boundary Conditions

In this paper, we study a third-order differential inclusion with three-point boundary conditions. We prove the existence of a solution under convexity conditions on the multi-valued right-hand side; the proof is based on a nonlinear alternative of Leray-Schauder type. We also study the compactness...

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Bibliographic Details
Main Authors: Ali Rezaiguia, Smail Kelaiaia
Format: Article
Language:English
Published: MDPI AG 2018-03-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/6/3/40