Problem of Metrizability for the Dynamical Systems Accepting the Normal   Shift
  The problem of metrizability for the dynamical systems accepting the normal shift is formulated and solved. The explicit formula for the force field of metrizable Newtonian dynamical system $\ddot\bold r=\bold F(\bold r,\dot\bold r)$ is found. 
R. A. Sharipov (home address: Rabochaya str. 5, Ufa 450003, Russia)