On some new nonlinear discrete inequalities and their applications (Q5919926)

This paper is a slight extension of a previous work done by \textit{F. W. Meng} and \textit{W. N. Li} [J. Comput. Appl. Math. 158, No. 2, 407--417 (2003; Zbl 1032.26019)]. The main ingredients are the same: a special case of Young's inequality and a one-variable-discrete-analogue of Gronwall's lemma. The results obtained represent two-variables-discrete-analogues of the aforementioned lemma for certain finite difference inequalities.