Some new nonlinear retarded sum-difference inequalities with applications

Abstract

Abstract The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions. These inequalities given here can be used as handy tools in the study of boundary value problems in partial difference equations. 2000 Mathematics Subject Classification: 26D10; 26D15; 26D20.

Keywords

• sum-difference inequalities
• boundary value problem