Geodesic
Existence and controllability for nondensely defined partial neutral functional differential inclusions
Applications of Mathematics, Tome 60 (2015) no. 3, pp. 321-340.

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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.
DOI : 10.1007/s10492-015-0098-2
Classification : 34A60, 34K35, 93B05
Keywords: nondensely operator; neutral differential inclusion; multivalued map; fixed point; controllability; C$_{0}$-semigroup 
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     title = {Existence and controllability for nondensely defined partial neutral functional differential inclusions},
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Ezzinbi, Khalil; Lalaoui Rhali, Soumia. Existence and controllability for nondensely defined partial neutral functional differential inclusions. Applications of Mathematics, Tome 60 (2015) no. 3, pp. 321-340. doi : 10.1007/s10492-015-0098-2. http://geodesic.mathdoc.fr/articles/10.1007/s10492-015-0098-2/

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