关于Gronwall不等式的注记

Remarks on Gronwall Inequality

摘要: 介绍了Gronwall不等式,并给出了一般的证明方法.利用微分方程中的比较原理,将Gronwall不等式对线性控制量的估计推广到关于非线性控制量的估计.同时给出了Gronwall不等式在讨论微分方程解性质中的应用.
- 微分方程 /
- 定性理论 /
- Gronwall不等式 /
- 比较定理
Abstract: The classical Gronwall inequality and its proof by using general methods were introduced. The estimate of linear control was extended to that of nonlinear control by the comparison theorem. The application of Gronwall inequality to the study of the characteristics of solutions of differential equations was also discussed.
- differential equations /
- qualitative theory /
- Gronwall inequality /
- comparison theorem

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