具有诺伊曼型边界条件的哈密顿系统的多重性结果

Nonlinear Differential Equations and Applications (NoDEA) Pub Date : 2024-02-15 DOI:10.1007/s00030-023-00913-4

Alessandro Fonda, Natnael Gezahegn Mamo, Franco Obersnel, Andrea Sfecci

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引用次数: 0

摘要

我们证明了与哈密顿系统相关的诺伊曼型边界值问题的一些多重性结果。这种系统可视为两个系统的弱耦合，其中第一个系统的哈密顿函数具有某些周期性，第二个系统则存在一对有序的下/上解。

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Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions

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Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions

We prove some multiplicity results for Neumann-type boundary value problems associated with a Hamiltonian system. Such a system can be seen as the weak coupling of two systems, the first of which has some periodicity properties in the Hamiltonian function, the second one presenting the existence of a well-ordered pair of lower/upper solutions.

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Nonlinear Differential Equations and Applications (NoDEA)

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