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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Kneser's theorem (differential equations) ： ウィキペディア英語版 Kneser's theorem (differential equations) In mathematics, in the field of ordinary differential equations, the Kneser theorem, named after Adolf Kneser, provides criteria to decide whether a differential equation is oscillating or not. == Statement of the theorem == Consider an ordinary linear homogeneous differential equation of the form :$y\text{'}\text{'}\; +\; q(x)y\; =\; 0\backslash ,$ with :$q:\; [0,+\backslash infty)\; \backslash to\; \backslash mathbb$ continuous. We say this equation is ''oscillating'' if it has a solution ''y'' with infinitely many zeros, and ''non-oscillating'' otherwise. The theorem states that the equation is non-oscillating if : and oscillating if :$\backslash liminf\_\; x^2\; q(x)\; >\; \backslash tfrac.$ 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「Kneser's theorem (differential equations)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.