Accession Number:

ADA193474

Title:

On a Class of Functionals Invariant under a Zn Action.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s):

• Rabinowitz, Paul H.

Report Date:

1987-08-01

Pagination or Media Count:

18.0

Abstract:

This document considers a system of ordinary differential equations of the form q V sub q t,q ft where f and V are periodic in t, V is periodic in the components of q q sub 1,..., q sub m, and the mean value of f vanishes. By showing that a corresponding functional is invariant under a natural Z sub n action, a simple variational argument yields at least n 1 distinct periodic solutions of . More general versions of are also treated as is a class of Neumann problems for semilinear elliptic partial differential equations.

Descriptors:

• *PARTIAL DIFFERENTIAL EQUATIONS
• ELLIPSES
• PERIODIC FUNCTIONS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE