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

共 50 条

[41] ESTIMATING EIGENVALUES FOR A CLASS OF DYNAMIC-SYSTEMS
ZEID, A
ROSENBERG, R
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1985, 320 (01): : 21 - 40
[42] MATRIX CALCULUS AND SENSITIVITY ANALYSIS OF LINEAR DYNAMIC-SYSTEMS
BREWER, JW
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (04) : 748 - 751
[43] A CLASS OF NONLINEAR LOSSLESS DYNAMIC-SYSTEMS
PAUL, S
HUPER, K
NOSSEK, JA
AEU-ARCHIV FUR ELEKTRONIK UND UBERTRAGUNGSTECHNIK-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 1992, 46 (04): : 219 - 227
[44] ON A CLASS OF DYNAMIC-SYSTEMS WITH SINGULAR POTENTIAL
CAPOZZI, A
SOLIMINI, S
TERRACINI, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 16 (10) : 805 - 815
[45] THE INVERSE PROBLEM IN THE CALCULUS OF VARIATIONS AND THE GEOMETRY OF THE TANGENT BUNDLE
MORANDI, G
FERRARIO, C
LOVECCHIO, G
MARMO, G
RUBANO, C
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 188 (3-4): : 147 - 284
[46] THE ADJOINT OF A NONLINEAR OPERATOR AND THE INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS
DEOLIVEIRA, AM
MATEMATICA APLICADA E COMPUTACIONAL, 1986, 5 (03): : 293 - 300
[47] Helmholtz's inverse problem of the discrete calculus of variations
Bourdin, Loic
Cresson, Jacky
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (09) : 1417 - 1436
[48] A GENERAL-SOLUTION OF THE INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS
TONTI, E
HADRONIC JOURNAL, 1982, 5 (04): : 1404 - 1450
[49] Computer algebra solution of the inverse problem in the calculus of variations
Aldridge, JE
Prince, GE
COMPUTER PHYSICS COMMUNICATIONS, 1998, 115 (2-3) : 489 - 509
[50] Homogeneous differential equations and the inverse problem of the calculus of variations
Rossi, Olga
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2014, 84 (1-2): : 165 - 188

← 1 2 3 4 5 →