We establish some sufficient conditions in order that a given locally closed subset of a separable Banach space be a viable domain for a semilinear functional differential inclusion, using a tangency condition involving a semigroup generated by a linear operator.
The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type where is a given function, is the family of all nonempty compact and convex subsets of a separable Banach space , denotes the space of all continuous set-valued functions from into , is the space of all integrally bounded set-valued functions , and is the Hukuhara derivative. The continuous dependence of solutions on initial data and...
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