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

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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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Lagrange stability pendulum type equation KAM theorem.
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The Sufficient and Necessary Condition of Lagrange Stability of Quasi-Periodic Pendulum Type Equations. (2021). Communications in Mathematical Research, 26(1), 76-84. https://gsp.tricubic.dev/cmr/article/view/8647