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