On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations

摘要

Some nonlinear discrete weakly singular inequalities, which generalize some known results are discussed. Under suitable parameters, prior bounds on solutions to nonlinear Volterra-type difference equations are obtained. Two examples are presented to show the applications of our results in boundedness and uniqueness of solutions of difference equations, respectively. MSC:34A34, 45J05.