Geodesic
Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a84,
     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},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a84/}
}
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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__a84/