Sam Olatunji Ale, Benjamin Oyediran Oyelami, Maligie S. Sesay
Abstract:
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.
Submitted February 7, 2005. Published June 23,2005.
Math Subject Classifications: 34A37.
Key Words: Strict set contraction; monotone iterations techniques;
measure of non-compactness; maximal solutions
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Sam Olatunji Ale National Mathematical Centre Abuja, Nigeria email: samalenmc@yahoo.com |
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Benjamin Oyediran Oyelami National Mathematical Centre Abuja, Nigeria email: boyelami2000@yahoo.com |
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Maligie S. Sesay Mathematical Sciences Programme Abubakar Tafawa Balewa University Bauchi, Nigeria email: ms_sesay@yahoo.com |
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