Find an extremum of the functional \(J [ f ] = \int _ { 0 } ^ { \pi / 2 } d x ( f ^ { \prime 2 } - f ^ { 2 } )\) in a class of functions \(f \in C ^ { 2 } [ 0 , \pi / 2 ]\) satisfying the boundary conditions \(f ( 0 ) = 0 , f ( \pi / 2 ) =\) 1.
Extremal of $\int_0^{\pi/2}(f'^2-f^2)\,dx$ with fixed endpoints
P-TRIV-VP02
- Area
- Prelim
- Status
- draft