Accession Number:

AD0731893

Title:

Behavior of the Solutions of a System of Differential Equations in the Neighborhood of Closed Orbits,

Descriptive Note:

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

Report Date:

1971-08-18

Pagination or Media Count:

27.0

Abstract:

A system of differential equations is considered. It is assumed that a biparametric family of periodic solutions is known for a system of unperturbed equations n-2 characteristic indices for equations in variations have a negative real part in a certain given vicinity of curve 5 the given functions are periodic in t with a period of 2 Pi uniformly in a given respect and, together with its partial derivatives of any given order, limited and uniformly continuous in a respect for a given equation. With these assumptions the author shows the existence and uniqueness of an integral uniformity depending on two arbitrary constants possessing the property of attracting any solutions of a system of differential equations, the initial values of which belong to some region. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE