Group classification of a family of second-order differential equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:364

Article

Ndogmo, J. C.

关键词: Arbitrary functions;    Group classification;    Equivalence transformations;    Symmetry algebra;    Classification table;   

DOI  :  10.1016/j.jmaa.2009.10.047

来源: Elsevier

【 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.

【 授权许可】

Free