Abstract

New nonlinear integral inequalities (NII) are presented in this paper. Based on mathematical analysis technique, several estimation results are obtained, which not only complement the aforementioned results, but also generalize the inequalities to the more general nonlinearities. As an application, they can be employed to estimate the bound on the solutions of power integro-differential equations (IDE).

中文翻译：

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幂次非线性积分不等式及其在时滞积分微分方程中的应用

摘要

本文提出了新的非线性积分不等式（NII）。基于数学分析技术，获得了多个估计结果，这些估计结果不仅可以补充上述结果，而且可以将不等式推广到更一般的非线性中。作为应用，可以使用它们来估计幂积分微分方程（IDE）解的界。