Geodesic
Impulsive semilinear neutral functional differential inclusions with multivalued jumps
Applications of Mathematics, Tome 56 (2011) no. 2, pp. 227-250

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

In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
DOI : 10.1007/s10492-011-0004-5
Classification : 34A37, 34G25, 34K09, 34K30, 34K35, 34K45, 47N20
Keywords: impulsive semilinear neutral functional differential equation; densely defined operator; infinite delay; phase space; fixed point; mild solutions; extremal mild solution 
@article{10_1007_s10492_011_0004_5,
     author = {Abada, Nadjet and Agarwal, Ravi P. and Benchohra, Mouffak and Hammouche, Hadda},
     title = {Impulsive semilinear neutral functional differential inclusions with multivalued jumps},
     journal = {Applications of Mathematics},
     pages = {227--250},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {2011},
     doi = {10.1007/s10492-011-0004-5},
     mrnumber = {2810245},
     zbl = {1224.34207},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0004-5/}
}
TY  - JOUR
AU  - Abada, Nadjet
AU  - Agarwal, Ravi P.
AU  - Benchohra, Mouffak
AU  - Hammouche, Hadda
TI  - Impulsive semilinear neutral functional differential inclusions with multivalued jumps
JO  - Applications of Mathematics
PY  - 2011
SP  - 227
EP  - 250
VL  - 56
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0004-5/
DO  - 10.1007/s10492-011-0004-5
LA  - en
ID  - 10_1007_s10492_011_0004_5
ER  - 
%0 Journal Article
%A Abada, Nadjet
%A Agarwal, Ravi P.
%A Benchohra, Mouffak
%A Hammouche, Hadda
%T Impulsive semilinear neutral functional differential inclusions with multivalued jumps
%J Applications of Mathematics
%D 2011
%P 227-250
%V 56
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0004-5/
%R 10.1007/s10492-011-0004-5
%G en
%F 10_1007_s10492_011_0004_5
Abada, Nadjet; Agarwal, Ravi P.; Benchohra, Mouffak; Hammouche, Hadda. Impulsive semilinear neutral functional differential inclusions with multivalued jumps. Applications of Mathematics, Tome 56 (2011) no. 2, pp. 227-250. doi: 10.1007/s10492-011-0004-5

Cité par Sources :