On invariance factors and invariance vectors for difference equations

被引：2

作者：

Van Horssen, WT ^{[1
]}

机构：

[1] Delft Univ Technol, Dept Appl Math Anal, NL-2628 CD Delft, Netherlands

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2002年 / 8卷 / 12期

关键词：

invariance factor; invariance vector; exact difference equation; invariant; first integral; functional equation;

D O I：

10.1080/1023619021000053999

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concept of invariance factors and invariance vectors to obtain invariants (or first integrals) for difference equations will be presented. It will be shown that all invariance factors and invariance vectors have to satisfy a functional equation. This concept turns out to be analogous to the concept of integrating factors and integrating vectors for ordinary differential equations.

引用

页码：1133 / 1146

页数：14

共 50 条

[41] A conformal invariance for generalized Birkhoff equations
Fengxiang Mei Jiafang Xie Tieqiang Gang Faculty of Science
Acta Mechanica Sinica, 2008, 24 (05) : 583 - 585
[42] Projective Invariance and Einstein's Equations
Giovanni Giachetta
Luigi Mangiarotti
General Relativity and Gravitation, 1997, 29 : 5 - 18
[43] Infinitesimal Invariance for the Coupled KPZ Equations
Funaki, Tadahisa
IN MEMORIAM MARC YOR - SEMINAIRE DE PROBABILITES XLVII, 2015, 2137 : 37 - 47
[44] Differential equations, duality and of modular invariance
Huang, YZ
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2005, 7 (05) : 649 - 706
[45] LOCAL DUALITY INVARIANCE OF MAXWELL EQUATIONS
MALIK, RP
PRADHAN, T
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1985, 28 (04): : 525 - 527
[46] Stochastic growth equations and reparametrization invariance
Marsili, M
Maritan, A
Toigo, F
Banavar, JR
REVIEWS OF MODERN PHYSICS, 1996, 68 (04) : 963 - 983
[47] ON ADDITIONAL INVARIANCE OF DIRAC AND MAXWELL EQUATIONS
FUSHCHICH, VI
LETTERE AL NUOVO CIMENTO, 1974, 11 (10): : 508 - 512
[48] Supersymmetry, shape invariance and the Legendre equations
Bazeia, D.
Das, Ashok
PHYSICS LETTERS B, 2012, 715 (1-3) : 256 - 259
[49] A conformal invariance for generalized Birkhoff equations
Fengxiang Mei
Jiafang Xie
Tieqiang Gang
Acta Mechanica Sinica, 2008, 24 : 583 - 585
[50] A conformal invariance for generalized Birkhoff equations
Mei, Fengxiang
Xie, Jiafang
Gang, Tieqiang
ACTA MECHANICA SINICA, 2008, 24 (05) : 583 - 585

← 1 2 3 4 5 →