Geodesic
Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions
Electronic journal of differential equations, Tome 2009 (2009)
In this paper we prove the existence of a mild solution for a semilinear evolution differential inclusion with nonlocal condition and governed by a family of linear operators, not necessarily bounded or closed, in a Banach space. No compactness assumption is assumed on the evolution operator generated by the family operators. Also, we prove that the set of mild solutions is compact.
Classification : 34A60
Keywords: evolution operator, generalized Cauchy operator, measure of noncompactness, differential inclusions, nonlocal conditions, mild solutions 
@article{EJDE_2009__2009__a184,
     author = {Al-Omair,  Reem A. and Ibrahim,  Ahmed G.},
     title = {Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1175.34077},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a184/}
}
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%A Ibrahim,  Ahmed G.
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%F EJDE_2009__2009__a184
Al-Omair,  Reem A.; Ibrahim,  Ahmed G. Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a184/