15. Exercises.
3.1) A functional
where V is a normed linear space, is linear if
and
Which of the following functionals on C1[a,b] are linear?
a)
b)
c)
d)
3.2) Show that the Euler equation for the functional
has the form
3.3) Find an extremal to
3.4) Find the extremals to
3.5) Find the extremals to
a)
b)
3.6) Show that the Euler equation for the surface area functional
is
3.7) Find an extremal to
