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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 Autonomous convergence theorem ： ウィキペディア英語版 Autonomous convergence theorem In mathematics, an autonomous convergence theorem is one of a family of related theorems which specify conditions guaranteeing global asymptotic stability of a continuous autonomous dynamical system. ==History== The Markus–Yamabe conjecture was formulated as an attempt to give conditions for global stability of continuous dynamical systems in two dimensions. However, the Markus–Yamabe conjecture does not hold for dimensions higher than two, a problem which autonomous convergence theorems attempt to address. The first autonomous convergence theorem was constructed by Russell Smith.〔Russell A. Smith, "Some applications of Hausdorff dimension inequalities for ordinary differential equations", ''Proceedings of the Royal Society of Edinburgh Section A'', 104A:235–259, 1986〕 This theorem was later refined by Michael Li and James Muldowney.〔Michael Y. Li and James S. Muldowney, "On R. A. Smith's autonomous convergence theorem", ''Rocky Mountain Journal of Mathematics'', 25(1):365–379, 1995〕 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「Autonomous convergence theorem」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.