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2013 Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications
Bin Zheng, Qinghua Feng, Fanwei Meng
J. Appl. Math. 2013: 1-9 (2013). DOI: 10.1155/2013/625063

Abstract

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 inequalities established, we present some applications for them, in which the boundedness for solutions for some certain dynamic equations on time scales is researched.

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Bin Zheng. Qinghua Feng. Fanwei Meng. "Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/625063

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950784
MathSciNet: MR3130996
Digital Object Identifier: 10.1155/2013/625063

Rights: Copyright © 2013 Hindawi

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