Gronwall不等式的推广

Generalization of Gronwall Inequality

Gronwall不等式是数学理论研究和应用的重要工具之一。经典的Gronwall不等式在现代偏微分方程理论研究中具有举足轻重的地位。本文通过系列的数学分析方法对其进行了改进和推广,该研究结果不仅丰富了Gronwall不等式的理论,同时也扩大了其应用范围。

Gronwall inequality is a crucial tool in mathematical theory and its applications.The classical Gronwall in-equality is fundamental to modern mathematics,especially in the study of partial differential equations.In this paper,the classi-cal Gronwall inequality is improved and extended by various methods of mathematical analysis.These results not only enrich the corresponding theory but also enlarge the application scope of Gronwall inequality.