Discrete Nonlinear Inequalities and Applications to Boundary Value Problems for Difference Equations

摘要

In this paper, some new discrete nonlinear inequalities with two variables are established and explicit bounds on the unknown function are derived. These inequalities generalize former results and can be used as handy tools to study the qualitative as well as the quantitative properties of certain partial difference equations. Example of applying these inequalities to derive the properties of boundary Value problems for difference equations is also given.