×

zbMATH — the first resource for mathematics

Generalized Gronwall-Bellman-type discrete inequalities and their applications. (English) Zbl 1272.26017
Summary: Some new nonlinear Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool to deduce qualitative and quantitative properties of solutions of certain difference equations. The established results generalize some recent results obtained by Cheung and Ma, respectively.

MSC:
26D15 Inequalities for sums, series and integrals
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] doi:10.1016/j.jmaa.2005.06.064 · Zbl 1116.26016
[2] doi:10.1016/j.cam.2007.05.021 · Zbl 1152.26324
[3] doi:10.1006/jmaa.1995.1008 · Zbl 0824.26010
[4] doi:10.1006/jmaa.1995.1318 · Zbl 0845.26009
[5] doi:10.1016/S0377-0427(03)00475-8 · Zbl 1032.26019
[6] doi:10.1080/10236190310001604238 · Zbl 1045.26007
[7] doi:10.1016/j.jmaa.2005.06.064 · Zbl 1116.26016
[8] doi:10.1016/j.cam.2006.02.036 · Zbl 1121.26019
[9] doi:10.1016/j.cam.2006.10.024 · Zbl 1128.26015
[10] doi:10.1016/j.cam.2009.10.002 · Zbl 1184.26024
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.