The Sumcient and Necessary Condition of Lagrange Stability of Quasi-periodic Pendulum Type Equations

The Sumcient and Necessary Condition of Lagrange Stability of Quasi-periodic Pendulum Type Equations

The quasi-periodic pendulum type equations are considered. A sufficient and necessary condition of Lagrange stability for this kind of equations is obtained. The result obtained answers a problem proposed by Moser under the quasi-periodic case.

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Veröffentlicht in:数学研究通讯：英文版 2010 (1), p.76-84
1. Verfasser: CONG FU-ZHONG LIANG XIN HAN YUE-CAI
Format: Artikel
Sprache:eng
Schlagworte:
准周期
拉格朗日稳定
摆型方程
稳定性条件
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Zusammenfassung:The quasi-periodic pendulum type equations are considered. A sufficient and necessary condition of Lagrange stability for this kind of equations is obtained. The result obtained answers a problem proposed by Moser under the quasi-periodic case.
ISSN:1674-5647