Abstract
In contrast with Noether theorem, we built up a new operative procedure
for the derivation of conserved quantities and then applied it to the extremal problem
for the integration under constraints in the space of state and control variables. In
the problem, conserved quantities were constructed by imposing the homogeneities
with respect to the state variables through control variables on relating functions.
The purpose of this paper is to release the control variables from the homogeneities
and then construct such a conserved quantity in a similar procedure. The quantity is
illustratively constructed in a economic model, with the aid of which optimal paths
can be determined completely.
