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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_1007_s10492_015_0098_2,
     author = {Ezzinbi, Khalil and Lalaoui Rhali, Soumia},
     title = {Existence and controllability for nondensely defined partial neutral functional differential inclusions},
     journal = {Applications of Mathematics},
     pages = {321--340},
     publisher = {mathdoc},
     volume = {60},
     number = {3},
     year = {2015},
     doi = {10.1007/s10492-015-0098-2},
     mrnumber = {3419965},
     zbl = {06486914},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-015-0098-2/}
}
TY  - JOUR
AU  - Ezzinbi, Khalil
AU  - Lalaoui Rhali, Soumia
TI  - Existence and controllability for nondensely defined partial neutral functional differential inclusions
JO  - Applications of Mathematics
PY  - 2015
SP  - 321
EP  - 340
VL  - 60
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-015-0098-2/
DO  - 10.1007/s10492-015-0098-2
LA  - en
ID  - 10_1007_s10492_015_0098_2
ER  - 
%0 Journal Article
%A Ezzinbi, Khalil
%A Lalaoui Rhali, Soumia
%T Existence and controllability for nondensely defined partial neutral functional differential inclusions
%J Applications of Mathematics
%D 2015
%P 321-340
%V 60
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-015-0098-2/
%R 10.1007/s10492-015-0098-2
%G en
%F 10_1007_s10492_015_0098_2
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

Cité par Sources :