- Find the extremal of the functional
subject to the boundary conditions y(0) = 1,y(1) = 0,z(0) = 0,z(1) = e.
- Find the extremal of the functional
subject to the boundary conditions
- Find the extremal of the functional
How many boundary conditions do you need to specify at the two endpoints to determine the extremal uniquely?
- Find the extremal of the functional
subject to the conditions y(0) = 0,y(1) = 0 and the constraint
- Find the extremal of the functional
subject to the conditions y(0) = 0,y(1) = 1 and the constraint = 1. For this problem you may stop after expressing y(x) in terms of the multiplier λ but this should be the only unknown constant. For a challenge, determine λ to finish solving the problem.
