Displaying similar documents to “Existence results for impulsive functional and neutral functional differential inclusions with lower semicontinuous right hand side.”

An existence result for impulsive functional differential inclusions in Banach spaces

Irene Benedetti (2004)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We use the topological degree theory for condensing multimaps to present an existence result for impulsive semilinear functional differential inclusions in Banach spaces. Moreover, under some additional assumptions we prove the compactness of the solution set.

Impulsive semilinear neutral functional differential inclusions with multivalued jumps

Nadjet Abada, Ravi P. Agarwal, Mouffak Benchohra, Hadda Hammouche (2011)

Applications of Mathematics

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In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.