Mathematics for Economists

(Greg DeLong) #1

Calculus of variations


0 = ψ^0 ( 0 )$

d

Zb
a

F





t,x(t)+λy(t),x(t)+λy(t)




dt=

=

Zb
a

d

F





t,x(t)+λy(t),x(t)+λy(t)




dt=

=

Zb

a

Fx^0 y+Fx^0 y dt $

$

Zb
a

q(t)y(t)+p(t)y(t)dt.
Free download pdf