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

PDF Url : ADA193474

Report Date : Aug 1987

Pagination or Media Count : 18

Abstract : This document considers a system of ordinary differential equations of the form (*) q + V sub q (t,q) = f(t) 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