Helmholtz's inverse problem of the discrete calculus of variations

被引：6

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.

引用

页码：1417 / 1436

页数：20

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