Calculus of variations

*To*: mathgroup at smc.vnet.net*Subject*: [mg20072] Calculus of variations*From*: "William F. Campbell" <valentin at wam.umd.edu>*Date*: Wed, 29 Sep 1999 03:33:28 -0400*Organization*: UMD Dept. of Meteorology*Sender*: owner-wri-mathgroup at wolfram.com

Are there any good books, or freely-available Mathematica notebooks, dealing with the calculus of variations? In particular, I am trying to solve the following type of problem: given two functions of a single variable f1[x] and f2[x], which are 0 almost everywhere, find the value of x0 such that Integrate[(f1[x]-f2[x+x0])^2,{x,-infinity, infinity}] is minimized. I don't think that this problem can be cast into "standard" Lagrangian form, but I haven't made a serious attempt. Bill Campbell