Journal of Applied Mathematics

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

Bin Zheng, Qinghua Feng, and Fanwei Meng

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 625063, 9 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808224

Digital Object Identifier
doi:10.1155/2013/625063

Mathematical Reviews number (MathSciNet)
MR3130996

Zentralblatt MATH identifier
06950784

Citation

Zheng, Bin; Feng, Qinghua; Meng, Fanwei. Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications. J. Appl. Math. 2013 (2013), Article ID 625063, 9 pages. doi:10.1155/2013/625063. https://projecteuclid.org/euclid.jam/1394808224


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