On first order impulsive semilinear functional differential inclusions
Mouffak Benchohra, Johnny Henderson, Sotiris K. Ntouyas (2003)
Archivum Mathematicum
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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.