Geodesic
Cone-valued impulsive differential and integrodifferential inequalities
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a297/}
}
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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__a297/