This article is cited in 1 paper

Mathematics

The theorem of averaging and indeterminate conditional periodic motions

O. P. Filatov

Dept. of Mathematics and Mechanics, Samara State University, Samara, 443011, Russian Federation

Abstract: It is proved that the limit of the maximal mean is equal to the sum of the space average of the function and the addition. The addition is the function of the maximal norm of the speed over the minimal norm of the speed. If the maximal norm is equal to the minimal norm we have the classic theorem of averaging.

Keywords: theorem of averaging, torus, rational independent numbers, differential inclusion, averaging, limit of maximal mean.

UDC: 517.928.1

Received: 18.06.2010
Revised: 18.06.2010