# 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.

# Descriptors:

# Subject Categories:

- Theoretical Mathematics