Generalized nonlinear weakly singular retarded integral inequalities with maxima and their applications

Abstract

Abstract This paper deals with a generalized nonlinear weakly singular retarded Wendroff-type integral inequality with maxima of an unknown function of two variables. The key is that a technique of monotonization without separability and monotonicity of given functions is used for estimating the boundedness of unknown functions. Then our outcomes can be helpful to weaken conditions for some known results. By applying our results, the uniqueness of solutions for some singular integral equation with maxima may be proven.

Keywords

• Integral inequalities
• Maxima
• Monotonicity
• Uniqueness