Geodesic
Cone-valued impulsive differential and integrodifferential inequalities
Electronic journal of differential equations, Tome 2005 (2005)
In this paper, we present impulsive analogues of the Gronwall-Bellman inequalities. Conditions for the existence of maximal solutions of some integrodifferential equations are obtained by finding upper bounds for these inequalities. Using monotone iterative techniques and a fixed point theorem, we obtained a priori estimates for the inequalities.
Classification : 34A37
Keywords: strict set contraction, monotone iterations techniques, measure of non-compactness, maximal solutions 
@article{EJDE_2005__2005__a197,
     author = {Ale,  Sam Olatunji and Oyelami,  Benjamin Oyediran and Sesay,  Maligie S.},
     title = {Cone-valued impulsive differential and integrodifferential inequalities},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a197/}
}
TY  - JOUR
AU  - Ale,  Sam Olatunji
AU  - Oyelami,  Benjamin Oyediran
AU  - Sesay,  Maligie S.
TI  - Cone-valued impulsive differential and integrodifferential inequalities
JO  - Electronic journal of differential equations
PY  - 2005
VL  - 2005
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a197/
LA  - en
ID  - EJDE_2005__2005__a197
ER  - 
%0 Journal Article
%A Ale,  Sam Olatunji
%A Oyelami,  Benjamin Oyediran
%A Sesay,  Maligie S.
%T Cone-valued impulsive differential and integrodifferential inequalities
%J Electronic journal of differential equations
%D 2005
%V 2005
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a197/
%G en
%F EJDE_2005__2005__a197
Ale,  Sam Olatunji; Oyelami,  Benjamin Oyediran; Sesay,  Maligie S. Cone-valued impulsive differential and integrodifferential inequalities. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a197/