Accession Number:

AD0683023

Title:

ON PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s):

Report Date:

1967-01-01

Pagination or Media Count:

14.0

Abstract:

The main result of this paper is concerned with the differential equation 1 the second derivative of x with respect to t grad Gx pt where p epsilon CR,R superscript n and is 2 pi-periodic, and G epsilon C superscript 2 R superscript n,R. The equation 1 can be interpreted physically as the Newtonian equations of motion of a mechanical system subject to conservative internal forces and periodic external forces. Specifically it is shown that under certain conditions, equation 1 has a 2 pi periodic solution.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE