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.