Implications of change management in public administration

or, in the equivalent form
Economic Theories – International Economic Relations
2 2 2 2 2
2
2 2 2
(1 ) p1
( p2
p3
) x p1
p1
( p2
p3
) x
H
.
2 2
2
2
2 2
2
2(1 ) 2(1 ) 1
(1 ) 1
In the case x 0 we obtain
2
Using Lagrange multipliers we obtain
2
1 L F
2 (1 )
2 u =
1
2
. .
1
L 1
y
2
z
L
and from Legendre transformation it results
2
1 p1
H
1
2 (1 )
For x 0 from (8‟) we have
1 p1
H
2
2 1
this leads us to the next equality
Next, if we denote
2
p1
2
1
H x 0
H 1
.
p
( p
2
2 2
1
2 3
2 2
2
( 1
) 1
2
.
. .
with the constraints y 0 , z 0
2
1 p1
,
2
2 (1 )
p
then the Hamilton‟s equations (5) lead to the following differential equations
2
2
dx H
(1 ) p1
p1
1
, (9)
2 2
2
2 3
dt p
(1 ) 1
(1 )
dp
dt
1
1
dy
dt
dz
dt
H
x
H
p
H
p
2
p2x
2
1
p1
p
(1
2
2
2
p3x
2
1
x
2
)
2
3
2 2
3 )
2
p1
p x
(1
2
) x
2 2
2 2
( p2
p3
) x p1
( p2
p3
) x
2
2 2
1
(1 )
dp2
H
dt y
dp3
H
dt z
0 p2
0 p3
2
1
, (10)
1
, (11)
a const.
b const.
1
, (12)
2
2 2
p1
( a b ) x
In these conditions the relation
2 2
2
( 1
) 1
change of variables:
2
leads to the following
111