Estimates for the Rate of Convergence in Ordinary Differential Equations under the Action of Random Processes with Fast Time

• Дата: 2005
• Автори: Bondarev, B. V., Kovtun, E. E., Бондарев, Б. В., Ковтун, Е. Е.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3611
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the procedure of averaging in the Cauchy problem for an ordinary differential equation perturbed by a certain Markov ergodic process. We establish several estimates for the rate of convergence of solutions of the original problem to solutions of the averaged one.