
Accession Number : ADA193474
Title : On a Class of Functionals Invariant under a Zn Action.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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