Geodesic
On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 139-154 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.1007/s10587-012-0002-0
Classification : 05C35, 34A60, 34B05, 34B27, 49J30
Keywords: differential equations; differential inclusions; multipoint boundary value problems; bang-bang controls; Green functions 
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Gomaa, Adel Mahmoud. On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 139-154. doi: 10.1007/s10587-012-0002-0

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