INFINITELY MANY EVEN PERIODIC SOLUTIONS OF LAGRANGIAN SYSTEMS ON ANY RIEMANNIAN TORI WITH EVEN POTENTIAL IN TIME

INFINITELY MANY EVEN PERIODIC SOLUTIONS OF LAGRANGIAN SYSTEMS ON ANY RIEMANNIAN TORI WITH EVEN POTENTIAL IN TIME
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任意时间偶势黎曼环面上拉格朗日系统的无穷多偶周期解

DOI:
10.1142/s0219199709003375
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发表时间:
2009-04
影响因子:
1.6
通讯作者:
Wang, Mingyan
Wang, Mingyan
中科院分区:
数学2区
文献类型:
--
作者:
Lu, Guangcun;Wang, Mingyan

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在本文中,我们证明了任何具有 C3-光滑偶数和 τ-周期势的黎曼环面上的拉格朗日系统在时间上具有无穷多个不同的周期可收缩偶解,且周期为 τ 的整数倍。结果,
In this paper, we prove that the Lagrangian system on any Riemannian torus with C3-smooth even and τ-periodic potential in time possesses infinitely many different periodic contractible even solutions with integer multiple periods of τ. As a consequence,
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