Existence results for impulsive multivalued semilinear neutral functional differential inclusions in Banach spaces

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Abstract

In this paper, the existence of mild solutions for first- and second-order impulsive semilinear neutral functional differential inclusions in Banach spaces is investigated. The results are obtained by using a fixed point theorem for condensing multivalued maps due to Martelli and semigroup theory. © 2001 Academic Press.

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Benchohra, M., Henderson, J., & Ntouyas, S. K. (2001). Existence results for impulsive multivalued semilinear neutral functional differential inclusions in Banach spaces. Journal of Mathematical Analysis and Applications, 263(2), 763–780. https://doi.org/10.1006/jmaa.2001.7663

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