Helmholtz's inverse problem of the discrete calculus of variations

被引：7
|
作者：
Bourdin, Loic [1 ]
Cresson, Jacky [1 ]
机构：
[1] Univ Pau & Pays Adour, F-64000 Pau, France
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2013年 / 19卷 / 09期
关键词：
difference equations; Lagrangian systems; Helmholtz's problem; discrete calculus of variations;
D O I：
10.1080/10236198.2012.754435
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive the discrete version of the classical Helmholtz's condition. Precisely, we state a theorem characterizing second-order finite difference equations admitting a Lagrangian formulation. Moreover, in the affirmative case, we provide the class of all possible Lagrangian formulations.
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页码：1417 / 1436
页数：20
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