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Existence results for nondensely defined semilinear functional differential inclusions in Fréchet spaces. (English) Zbl 1111.34045

By using a nonlinear alternative for contractive multivalued mappings in Fréchet spaces, the authors prove an existence result for integral solutions to a first-order semilinear functional-differential inclusion whose linear part is nondensely defined but generates an integrated semigroup.

MSC:

34G25 Evolution inclusions
47D62 Integrated semigroups
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