Skip to main content
10 events
when toggle format what by license comment
Jan 30, 2015 at 9:30 history edited Robert Bryant CC BY-SA 3.0
fixed TeX problem that made the formulae confusing
Dec 14, 2012 at 13:05 history edited Robert Bryant CC BY-SA 3.0
Added some information about solving the system for f
Dec 13, 2012 at 19:18 history edited Robert Bryant CC BY-SA 3.0
fixed formatting and typos
Dec 13, 2012 at 19:16 vote accept Aeryk
Dec 13, 2012 at 17:05 history edited Robert Bryant CC BY-SA 3.0
added a note at the beginning about more general situations
Dec 13, 2012 at 16:51 history edited Robert Bryant CC BY-SA 3.0
added information about the specific method of solution
Dec 13, 2012 at 16:27 comment added Robert Bryant @Aeryk: Well, I don't know that I could say the best place to look, to tell the truth. There are many books and papers on the inverse problem in the calculus of variations, so you might search on that topic. Classical authors who come to mind are Lie, Liouville, Dini, Darboux, Carathéodory (of course), Zermelo, and Bolza. More recent authors who have written on this are Olver, Anderson, Thompson, and so on. You may find, though, that they'll take you on a long journey before answering your specific question, so I'll summarize what you have to do in your case by adding to my answer above.
Dec 13, 2012 at 16:09 comment added Aeryk This is great! Do you have any references (texts or papers) where I can work through more of the details and/or fill in my missing background?
Dec 13, 2012 at 16:05 history edited Robert Bryant CC BY-SA 3.0
Added some information about the reconstruction method
Dec 13, 2012 at 15:59 history answered Robert Bryant CC BY-SA 3.0