Conditional Linearizability Criteria for Scalar Fourth Order Semi-Linear Ordinary Differential Equations

Details Conditional Linearizability Criteria for Scalar Fourth Order Semi-Linear Ordinary Differential Equations Conditional Linearizability Criteria for Scalar Fourth Order Semi-Linear Ordinary Differential Equations

2007-11-08

arxiv.org/abs/0711.1222v2

Mathematics

Classical Analysis and ODEs

Scientific paper

Using geometric methods for linearizing systems of second order cubically semi-linear ordinary differential equations and third order quintically semi-linear ordinary differential equations, we extend to the fourth order by differentiating the third order equation. This yields criteria for linearizability of a class of fourth order semi-linear ordinary differential equations, which have not been discussed in the literature previously. It is shown that the procedure can be extended to higher order. Though the results for the higher orders are complicated, they are doable by algebraic computing. The standard Lie approach, as developed at present does not seem to be amenable to giving results that can be handled even by algebraic computing.

Affiliated with

Also associated with

No associations

Rating

Conditional Linearizability Criteria for Scalar Fourth Order Semi-Linear Ordinary Differential Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Conditional Linearizability Criteria for Scalar Fourth Order Semi-Linear Ordinary Differential Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conditional Linearizability Criteria for Scalar Fourth Order Semi-Linear Ordinary Differential Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-377454