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Keywords:
nondensely operator; neutral differential inclusion; multivalued map; fixed point; controllability; C$_{0}$-semigroup
nondensely operator; neutral differential inclusion; multivalued map; fixed point; controllability; C$_{0}$-semigroup
Summary:
We give sufficient conditions for the existence of integral solutions for a class of neutral functional differential inclusions. The assumptions on the generator are reduced by considering nondensely defined Hille-Yosida operators. Existence and controllability results are established by combining the theory of addmissible multivalued contractions and Frigon's fixed point theorem. These results are applied to a neutral partial differential inclusion with diffusion.
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