Group classification of a family of second-order differential equations

被引：2

作者：

Ndogmo, J. C. ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2050 Wits, South Africa

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 364卷 / 01期

关键词：

Arbitrary functions; Group classification; Equivalence transformations; Symmetry algebra; Classification table; LANE-EMDEN EQUATION;

D O I：

10.1016/j.jmaa.2009.10.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find the group of equivalence transformations for equations of the form y '' = A(x)y' + F(y). where A and F are arbitrary functions. We then give a complete group classification of this family of equations using a direct method of analysis, together with the equivalence transformations. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：242 / 254

页数：13

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