Accession Number : AD0730048

Title :   The Behavior of Solutions of a System of Differential Equations in the Vicinity of an Isolated Static Solution,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Lykova,O. B.

Report Date : 12 JUL 1971

Pagination or Media Count : 28

Abstract : While substantiating asymptotic methods, N. N. Bogolyubov proved a number of theorems establishing criteria of the existence and stability of integral multiforms for systems of equations of a given type in the vicinity of static and periodic solutions of given averaged equations. The purpose of this work is to establish the existence and stability of integral multiforms for equations of a given type. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), INTEGRALS, INTEGRATION, STABILITY, POLYNOMIALS, INEQUALITIES, THEOREMS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE