Journal of Applied Mathematics

Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time Scales

Fanwei Meng, Qinghua Feng, and Bin Zheng

Full-text: Open access

Abstract

Some new Gronwall-Bellman-type delay integral inequalities in two independent variables on time scales are established, which provide a handy tool in the research of qualitative and quantitative properties of solutions of delay dynamic equations on time scales. The established inequalities generalize some of the results in the work of Zhang and Meng 2008, Pachpatte 2002, and Ma 2010.

Article information

Source
J. Appl. Math., Volume 2011 (2011), Article ID 754350, 25 pages.

Dates
First available in Project Euclid: 15 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1331818644

Digital Object Identifier
doi:10.1155/2011/754350

Mathematical Reviews number (MathSciNet)
MR2844120

Zentralblatt MATH identifier
1228.26041

Citation

Meng, Fanwei; Feng, Qinghua; Zheng, Bin. Explicit Bounds to Some New Gronwall-Bellman-Type Delay Integral Inequalities in Two Independent Variables on Time Scales. J. Appl. Math. 2011 (2011), Article ID 754350, 25 pages. doi:10.1155/2011/754350. https://projecteuclid.org/euclid.jam/1331818644


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