Some new discrete inequalities of Volterra-Fredholm type In three independent variables and applications

Abstract

In this paper, we establish some new nonlinear Volterra-Fredholm type discrete inequalities with three independent variables. These inequalities can serve as handy tools in the study of class of nonlinear Volterra-Fredholm sum-difference equations, partial difference equations and its variants to analyze the qualitative and quantitative behavior of their solutions. Some applications are also given to convey the importance of our results.