ON THE INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS FOR A CLASS OF COUPLED DYNAMIC-SYSTEMS

被引：15

作者：

IBORT, LA

MARIN SOLANO, J

机构：

[1] Dept. de Fisica Teorica, Univ. Complutense de Madrid

来源：

INVERSE PROBLEMS | 1991年 / 7卷 / 05期

关键词：

D O I：

10.1088/0266-5611/7/5/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse problem of the calculus of variations for a class of coupled dynamical systems-the so-called driven second-order differential equations-are analysed. A family of necessary and sufficient conditions are found that assure the existence of a local Lagrangian function for a given driven second-order differential equations. These conditions are stated geometrically and some of their consequences and examples are discussed.

引用

页码：713 / 725

页数：13

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