Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation

الملخص EN

Some new nonlinear weakly singular difference inequalities are discussed, which generalize some known weakly singular inequalities and can be used in the analysis of nonlinear Volterra-type difference equations with weakly singular kernel.

An application to the upper bound of solutions of a nonlinear difference equation is also presented.