Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications

We establish some new Gronwall-Bellman-type inequalities on time scales. These inequalities are of new forms compared with other Gronwall-Bellman-type inequalities established so far in the literature. Based on them, new bounds for unknown functions are derived. For illustrating the validity of the...

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Bibliographic Details
Main Authors: Bin Zheng, Qinghua Feng, Fanwei Meng
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/625063