Boundary Value Problems for Discrete Hamiltonian Systems with Forcing Terms

Honghua Bin, Zhenkun Huang
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Abstract

Two existence results are presented on boundary value problem for discrete Hamiltonian systems with forcing terms. Methods used here is based on the Saddle Point theorem and the Least action principle. Moreover, in order to apply variational methods, a new action functional is constructed which is different from the usual action functional for periodic boundary condition.
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具有强迫项的离散哈密顿系统的边值问题
给出了具有强迫项的离散哈密顿系统边值问题的两个存在性结果。这里使用的方法是基于鞍点定理和最小作用原理。此外,为了应用变分方法,构造了一种不同于一般周期边界条件下的作用泛函。
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