Movement of Spherical Brownian Particle in Viscous Medium as Non-Markovian Process

Using the Volterra 2-nd kind integral equation the velocity fluctuations of a spherical Brownian particle moving in the viscous infinite medium are described. It is shown that these fluctuations constitute the non-Markovian stochastic process and have peculiarities differing them from fluctuations in classical presentation. Resonant curves obtained for classical oscillators are compared to those obtained for oscillators described with the help of the integral equation.