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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.

26D15 Inequalities for sums, series and integrals
Full Text: DOI
[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
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