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Topic: Re: Calculus of Variations question
Replies: 0

 Lennart Stern Posts: 4 From: Deutschland Registered: 5/15/12
Re: Calculus of Variations question
Posted: May 15, 2012 12:09 PM

One can first consider the problem with the additional constraint that
the end point be (a,b). We write down the Lagrangian for this problem
\int_0^1{f(x(s),y(s))ds} -lambda (\int_\sqrt(x'(s)^2+y'(s)^2)-1). The
Euler-Lagrange equations are necessary conditions. We then consider the
maximal value to this constrained problem as a function of (a,b) and
maximise this.