Geodesic
Discrete Generalization of Gronwall-Bellman Inequality with Maxima and Application
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 180-184.

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Several new types of linear discrete inequalities containing the maximum of the unknown function over a past time interval are solved. Some of these inequalities are applied to difference equations with maximum and the continuous dependence of a perturbation is studied. *2000 Mathematics Subject Classification: 39A22, 26D15, 39B62, 39A10, 47J20.
Keywords: Discrete Gronwall–Bellman Type Inequality, Difference Equations with Maxima, Bounds 
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Hristova, Snezhana; Stefanova, Kremena; Vankova, Liliana. Discrete Generalization of Gronwall-Bellman Inequality with Maxima and Application. Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 180-184. http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a16/