The Sufficient and Necessary Condition of Lagrange Stability of Quasi-Periodic Pendulum Type Equations

Authors

  • Fuzhong Cong
  • Xin Liang
  • Yuecai Han

Keywords:

Lagrange stability, pendulum type equation, KAM theorem.

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.

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Published

2021-08-17

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Issue

Vol. 26 No. 1 (2010)

Section

Articles

How to Cite

The Sufficient and Necessary Condition of Lagrange Stability of Quasi-Periodic Pendulum Type Equations. (2021). Communications in Mathematical Research, 26(1), 76-84. https://www.global-sci.com/index.php/cmr/article/view/8647