Gronwall—Bellman 型离散不等式的若干推广

On Some Discrete Generalizations of Gronwall-Bellman's Inequality

本文建立了若干线性 Gronwall—Bellman 型离散不等式,并在所涉及的泛函 H不具备次可加性和次可乘性的情况下,得到了若干非线性离散不等式的估计式,从而改进和推广了 Pachpatte B G 的结果。

One of the most useful techniques frequently used in the study of finite difference equations and numerical analysis consists in applying diserete inequalities,especially the various kinds of Gronwall type inequalities.In this paper,we derive several new discrete inequalities of Gronwall-Bellman type.Some of them extend the recent results obtained by Pachpatte B G.