arXiv Analytics

Sign in

arXiv:0902.2390 [math.AP]AbstractReferencesReviewsResources

Group Classification of a family of second-order differential equations

J. C. Ndogmo

Published 2009-02-13Version 1

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 these families of equations, using a direct method of analysis, together with the equivalence transformations.

Comments: 13 pages
Categories: math.AP, math.CA
Subjects: 34C20, 58J70, 76M60
Related articles: Most relevant | Search more
arXiv:0910.0813 [math.AP] (Published 2009-10-05, updated 2010-01-13)
On the paper "Symmetry analysis of wave equation on sphere" by H. Azad and M. T. Mustafa
arXiv:1110.6029 [math.AP] (Published 2011-10-27)
Equivalence transformations of Euler-Bernoulli equation
arXiv:1609.04438 [math.AP] (Published 2016-09-14)
Local approximation of arbitrary functions by solutions of nonlocal equations

Links

Toolbox