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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. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「comparison theorem」の詳細全文を読む スポンサード リンク
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