Delay dynamic double integral inequalities on time scales with applications

Abstract

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.

Keywords

• Delay integral inequality
• Time scale
• Dynamic equation
• Discrete inequality
• Boundedness