Existence of solution, Filippov's theorem and compactness of the set of solutions for a third-order differential inclusion with three-point boundary conditions
type: Item
instance of: scholarly article
title: Existence of solution, Filippov's theorem and compactness of the set of solutions for a third-order differential inclusion with three-point boundary conditions
zbMATH Open document ID: 1393.34032
author: Ali Rezaiguia
author: S. Kelaiaia
published in: Mathematics
publication date: 2018-07-05T00:00:00Z
review text: Summary: 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 of the set of solutions and establish some Filippov's-type results for this problem.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6898732
zbMATH Keywords: differential inclusion
zbMATH Keywords: boundary value problem
zbMATH Keywords: fixed point theorem
zbMATH Keywords: selection theory
zbMATH Keywords: Filippov's theorem
MaRDI profile type: Publication
full work available at URL: math6030040
OpenAlex ID: W2790341246
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DOI: 10.3390/MATH6030040
description: scientific article; zbMATH DE number 6898732