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.
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页码：713 / 725
页数：13
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