A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity

Abstract

We discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Hölder inequality, discrete Jensen inequality, the mean-value theorem for integrals and amplification method, and Gamma function. Explicit bound for the unknown function is given clearly. Moreover, an example is presented to show the usefulness of our results.

A Class of Volterra-Fredholm Type Weakly Singular Difference Inequalities with Power Functions and Their Applications

“…Motivated by the results given in [6,11,28,36,45,49,50], in this paper, we discuss the following inequalities:…”