Gronwall–Bellman type nonlinear delay integral inequalities on time scales

In this paper, some Gronwall–Bellman type nonlinear delay integral inequalities on time scales are established, which provide a handy tool in deriving boundedness of solutions of certain delay dynamic equations on time scales. Our results generalize some of the main results in Lipovan (2006) [1], , Pachpatte (2000) [2], , Ferreira and Torres (2009) [3], , Zhang and Meng (2008) [4], , Cheung and Ren (2006) [5], , Kim (2009) [6], and some of our results unify continuous and discrete analysis in the literature.