Mathematics for Economists

Optimal control, Bolza problem

x(t) = x( 0 )+

Zt

0

x( 1 )+ 1 / 2 t/ 2 dt=

= x( (^1) )t+ 1 / 2 tt^2 / 4.
2 x( 1 ) =^12
1 ^14
12 =^14 ,x( 1 )=^18 ,
x(t) =^38 tt
2
4.