larke对偶在离散凸Hamilton系统周期解的应用
Periodic Solutions for Discrete Convex Hamiltonian Systems via Clarke Duality
本文在Legendre变换的基础上，建立了离散Hamilton系统的对偶作用泛函．应用对偶最小作用原理和扰动技巧，得到带强迫项的离散凸Hamilton系统周期解存在的条件．
Based on the Legendre transform, the dual action functional which corresponds to discrete Hamiltonian systems is given. In this paper, the existence of periodic solution for discrete convex Hamiltonian systems with forcing terms is obtained by using the dual least action principle and perturbation technique.
庾建设、宾红华、郭志明
数学
larke对偶，扰动技巧，对偶最小作用原理，离散Hamilton系统，周期解，凸
larke duality perturbation technique dual least action principle discrete Hamiltonian systems periodic solution convex
庾建设,宾红华,郭志明.larke对偶在离散凸Hamilton系统周期解的应用[EB/OL].(2005-12-12)[2025-08-03].http://www.paper.edu.cn/releasepaper/content/200512-232.点此复制
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