Oleksandr D. Borysenko, Olga V. Borysenko, “Limit behavior of non-autonomous random oscillating system of third order under random periodic external disturbances in resonance case”, Theory Stoch. Process., 2008, том 14(30), выпуск 3,страницы 17

Limit behavior of non-autonomous random oscillating system of third order under random periodic external disturbances in resonance case

Oleksandr D. Borysenko^a, Olga V. Borysenko^b

^a Department of Probability Theory and Mathematical Statistics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine
^b Department of Mathematical Physics, National Technical University ”KPI“, Kyiv, Ukraine

Аннотация: 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.

Ключевые слова: Asymptotic behavior, third order autonomous oscillating system, small non-linear random perturbations, resonance case.

MSC: 60H10

Язык публикации: английский