Estimation on Unknown Function of a Class of Generalized Nonlinear Volterra-Fredholm Type Difference Inequality

Abstract

The main objective of this paper is to establish a class of new nonlinear Volterra-Fredholm type difference inequality. Upper bound estimations of unknown functions are given by technique of change of variable, amplification method, difference and summation and inverse function. The derived results can be applied in the study of solutions of Volterra-Fredholm type difference equations.