一类二阶线性Gronwall不等式及其应用

One Class of Second Order Linear Gronwall Inequalities and Their Applications

给出了一类二阶线性 Gronwall不等式的初等证明 ,并应用到非线性 Newton运动方程的初、边值问题中 ,通过具体的例子说明了它在误差估计方面的作用。

Paper,we prove one class of second order linear Gronwall inequalities by the elementary methods and apply the inequalities to initial value problems and boundary value problems of nonlinear differential equations. With practice examples,we analyze the error among the solutions to differential equations and their graphs are given.