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In this paper, some new Gronwall-Bellman type integral inequalities on time scales containing integration on infinite intervals are established. They provide new bounds for unknown functions concerned and can be used as a handy tool in the research of qualitative and quantitative properties of solutions of certain dynamic equations on time scales. MSC: 26E70, 26D15, 26D10. © 2013 Meng et al.; licensee Springer.

Some new integral inequalities on time scales containing integration on infinite intervals