Geodesic
On first order impulsive semilinear functional differential inclusions
Archivum mathematicum, Tome 39 (2003) no. 2, pp. 129-139

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In this paper the Leray-Schauder nonlinear alternative for multivalued maps combined with the semigroup theory is used to investigate the existence of mild solutions for first order impulsive semilinear functional differential inclusions in Banach spaces.
Classification : 34A60, 34G25, 34K30, 34K45, 35K45, 35R10
Keywords: initial value problem; impulsive functional differential inclusions; convex multivalued map; fixed point; mild solution 
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     author = {Benchohra, M. and Henderson, J. and Ntouyas, Sotiris K.},
     title = {On first order impulsive semilinear functional differential inclusions},
     journal = {Archivum mathematicum},
     pages = {129--139},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {2003},
     mrnumber = {1994569},
     zbl = {1116.34342},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2003__39_2_a3/}
}
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Benchohra, M.; Henderson, J.; Ntouyas, Sotiris K. On first order impulsive semilinear functional differential inclusions. Archivum mathematicum, Tome 39 (2003) no. 2, pp. 129-139. http://geodesic.mathdoc.fr/item/ARM_2003__39_2_a3/