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

Abstract

We discuss a class of Volterra-Fredholm type difference inequalities with weakly singular. The upper bounds of the embedded unknown functions are estimated explicitly by analysis techniques. An application of the obtained inequalities to the estimation of Volterra-Fredholm type difference equations is given.

Some Generalized Nonlinear Gamidov Type Integral Inequalities with Maxima in Two Variables and Their Weakly Singular Analogues

“…GRONWALL, Note on the derivatives with respect to a parameter of the solutions of a system of differential equations, Annals of Mathematics, vol. 20…”