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Volume 26, Issue 1
The Sufficient and Necessary Condition of Lagrange Stability of Quasi-Periodic Pendulum Type Equations

Fuzhong Cong, Xin Liang & Yuecai Han

Commun. Math. Res., 26 (2010), pp. 76-84.

Published online: 2021-05

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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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@Article{CMR-26-76, author = {Cong , FuzhongLiang , Xin and Han , Yuecai}, title = {The Sufficient and Necessary Condition of Lagrange Stability of Quasi-Periodic Pendulum Type Equations}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {26}, number = {1}, pages = {76--84}, abstract = {

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 = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19179.html} }
TY - JOUR T1 - The Sufficient and Necessary Condition of Lagrange Stability of Quasi-Periodic Pendulum Type Equations AU - Cong , Fuzhong AU - Liang , Xin AU - Han , Yuecai JO - Communications in Mathematical Research VL - 1 SP - 76 EP - 84 PY - 2021 DA - 2021/05 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19179.html KW - Lagrange stability, pendulum type equation, KAM theorem. AB -

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.

FuzhongCong, XinLiang & YuecaiHan. (2021). The Sufficient and Necessary Condition of Lagrange Stability of Quasi-Periodic Pendulum Type Equations. Communications in Mathematical Research . 26 (1). 76-84. doi:
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