Equivalence groupoids of classes of linear ordinary differential equations and their group classification

被引：8

作者：

Boyko, Vyacheslav M. ^{[1
]}

Popovych, Roman O. ^{[1
,2
]}

Shapoval, Nataliya M. ^{[3
]}

机构：

[1] Inst Math NAS Ukraine, UA-01601 Kiev 4, Ukraine

[2] Univ Vienna, Wolfgang Pauli Inst, A-1090 Vienna, Austria

[3] Taras Shevchenko Natl Univ Kyiv, Fac Mech & Math, UA-03127 Kiev, Ukraine

来源：

SEVENTH INTERNATIONAL WORKSHOP: GROUP ANALYSIS OF DIFFERENTIAL EQUATIONS AND INTEGRABLE SYSTEMS (GADEISVII) | 2015年 / 621卷

关键词：

CONSTANT-COEFFICIENTS; SYMMETRY-BREAKING; LIE-ALGEBRAS; SYSTEMS; ODES;

D O I：

10.1088/1742-6596/621/1/012002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Admissible point transformations of classes of rth order linear ordinary differential equations (in particular, the whole class of such equations and its subclasses of equations in the rational form, the Laguerre Forsyth form, the first and second Arnold forms) are exhaustively described. Using these results, the group classification of such equations is carried out within the algebraic approach in three different ways.

引用

页数：17