LIMIT BEHAVIOR OF NON-AUTONOMOUS RANDOM OSCILLATING SYSTEM OF THIRD ORDER UNDER RANDOM PERIODIC EXTERNAL DISTURBANCES IN RESONANCE CASE

OLEKSANDR D. BORYSENKO AND OLGA V. BORYSENKO

Theory of Stochastic Processes Vol.14 (30), no.3-4, 2008, pp.17-26

The asymptotic behavior of the general type third order non-autonomous oscillating system under the action of small non-linear random periodic perturbations of “white”and “Poisson” types in resonance case is investigated.

Full version