On a Class of Functionals Invariant under a Zn Action.
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WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES
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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.
- Numerical Mathematics