Type: Article
Publication Date: 2020-01-20
Citations: 46
DOI: https://doi.org/10.1186/s13662-020-2516-3
Abstract In the article, we present the explicit bounds for three generalized delay dynamic Gronwall–Bellman type integral inequalities on time scales, which are the unification of continuous and discrete results. As applications, the boundedness for the solutions of delay dynamic integro-differential equations with initial conditions is discussed.