boundary condition in VariationalBound
- To: mathgroup at smc.vnet.net
- Subject: [mg124860] boundary condition in VariationalBound
- From: janos <janostothmeister at gmail.com>
- Date: Thu, 9 Feb 2012 05:43:56 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
Is there any way to include the the boundary condition into
VariationalBound?
VariationalBound[Sqrt[1 + Derivative[1][y][x]^2], y[x], {x, 0, 1}, a +
b x, {a}, {b}]
gives
{1., {b -> 0}}
which really minimizes the functional but in the class of all linear
functions not restricting the minimization onto those which fulfil,
say, y[0]=0, y[1]=1.
Perhaps one should reformulate the problem?
The same problem does not arise when usin EulerEquations or
VariationalD.
Thank you.
J=E1nos