Comparison theorem について

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Comparison theorem ：ウィキペディア英語版

Comparison theorem
A comparison theorem is any of a variety of theorems that compare properties of various mathematical objects.
==Differential equations==

In the theory of differential equations, comparison theorems assert particular properties of solutions of a differential equation (or of a system thereof) provided that an auxiliary equation/inequality (or a system thereof) possesses a certain property. See also Lyapunov comparison principle
*Grönwall's inequality, and its various generalizations, provides a comparison principle for the solutions of first-order ordinary differential equations.
*Sturm comparison theorem
*Aronson and Weinberger used a comparison theorem to characterize solutions to Fisher's equation, a reaction--diffusion equation.

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