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Bulletin of Irkutsk State University. Series Mathematics, 2012 Volume 5, Issue 3, Pages 104–111 (Mi iigum79)

On the most probable (typical) trajectory of the nonautonomous system of ordinary differential equations

G. A. Rudykh, D. J. Kiselevich

Irkutsk State University, 1, K. Marks St., Irkutsk, 664003

Abstract: In this paper we study the behavior of the integral curve nonautonomous system of ordinary differential equations. It is shown that under certain assumptions, the motion along trajectories of the system of ordinary differential equations made the most of the probability density function distribution.

Keywords: system of ordinary differential equations Liouville equation, probability density function, the integral curve, the maximum movement.

UDC: 517.938



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