Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 66, pp. 1-14.

Title: Cone-valued impulsive differential
       and integrodifferential inequalities
       
Authors: Sam Olatunji Ale (National Math. Centre, Abuja, Nigeria)
    Benjamin Oyediran Oyelami (National Math. Centre, Abuja, Nigeria)
    Maligie S. Sesay (Abubakar Tafawa Balewa Univ., Nigeria)

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