Accession Number : AD0688286

Title :   THE AVERAGING PRINCIPLE IN NONLINEAR MECHANICS AS APPLIED TO COUNTABLE SYSTEMS OF EQUATIONS,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Zhautykov,O. L.

Report Date : 13 MAR 1969

Pagination or Media Count : 18

Abstract : The averaging technique of Krylov-Bogolyubov is applied to countable systems of equations of the form d(x sub k)/dt = epsilon (f sub k)(t,x sub 1, x sub 2,...) (k = 1,2,...). The results are summarized in a theorem.

Descriptors :   (*EQUATIONS OF MOTION, NONLINEAR SYSTEMS), DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS, THEOREMS, USSR

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE