Periodic solutions of systems of differential equations with random right-hand sides

  • V. Ya. Danilov
  • D. I. Martynyuk
  • A. N. Stanzhitskii

Abstract

We prove a theorem on the existence of periodic solutions of a system of differential equations with random right-hand sides and small parameter of the form dx/dt=εX(t, x, ξ(t)) in a neighborhood of the equilibrium state of the averaged deterministic system dx/dtX 0(t).
Published
25.02.1997
How to Cite
DanilovV. Y., MartynyukD. I., and StanzhitskiiA. N. “Periodic Solutions of Systems of Differential Equations With Random Right-Hand Sides”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 2, Feb. 1997, pp. 223–227, https://umj.imath.kiev.ua/index.php/umj/article/view/4999.
Section
Research articles