Mathematics for Economists

Optimal control, Bolza problem

Hence

H=f(t,x(t),u(t))+φ^0 (x(t))g(t,x(t),u(t))+

+p(t)g(t,x(t),u(t))=

=f(t,x(t),u(t))+

p(t)+φ^0 (x(t))

g(t,x(t),u(t))=

=f(t,x(t),u(t))+ep(t)g(t,x(t),u(t)).