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Title: On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints (English)
Author: Gomaa, Adel Mahmoud
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 62
Issue: 1
Year: 2012
Pages: 139-154
Summary lang: English
Category: math
Summary: We deal with the problems of four boundary points conditions for both differential inclusions and differential equations with and without moving constraints. Using a very recent result we prove existence of generalized solutions for some differential inclusions and some differential equations with moving constraints. The results obtained improve the recent results obtained by Papageorgiou and Ibrahim-Gomaa. Also by means of a rather different approach based on an existence theorem due to O. N. Ricceri and B. Ricceri we prove existence results improving earlier theorems by Gupta and Marano. (English)
Keyword: differential equations
Keyword: differential inclusions
Keyword: multipoint boundary value problems
Keyword: bang-bang controls
Keyword: Green functions
MSC: 05C35
MSC: 34A60
MSC: 34B05
MSC: 34B27
MSC: 49J30
idZBL: Zbl 1249.34053
idMR: MR2899741
DOI: 10.1007/s10587-012-0002-0
Date available: 2012-03-05T07:18:46Z
Last updated: 2016-04-07
Stable URL:
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