On some nonlinear retarded Volterra–Fredholm type integral inequalities on time scales and their applications

Abstract

Abstract In this paper, we establish some new nonlinear retarded Volterra–Fredholm type integral inequalities on time scales. Our results not only generalize and extend some known integral inequalities, but also provide a handy and effective tool for the study of qualitative properties of solutions of some Volterra–Fredholm type dynamic equations.

Keywords

• Time scale
• Retarded integral inequality
• Volterra–Fredholm type