Abstract:
General procedure of constructing the solutions of systems of equations for normal
and anomalous correlation functions is developed. Approximate solutions valid in the
whole time interval from $t=0$ to infinity are found in general form. For the case of
superconductive model based on the Frohlich hamiltonian, energy of elementary excitations
and damping are calculated and asymptotic expressions for correlation functions
at large and small values of the time are obtained.