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