Existence and controllability for nondensely defined partial neutral functional differential inclusions

[摘要] 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.

[学科分类] 应用数学

[关键词] nondensely operator;neutral differential inclusion;multivalued map;fixed point;controllability;C$_{0}$-semigroup