--C0-determinacy of --C0-equivariant bifurcation problems with respect to --C0-BD and contact equivalence from the weighted point view

Abstract

In this paper, C0 finite determination of -equivariant bifurcation problems in the relative case from the weighted point view is being discussed . Some criteria on the C0 finite determination of -equi-variant bifurcation problems in the relative case are then obtained in terms of an analytic-geometric non-degeneracy condition, which generalize the result on the C0 finite determination of bifurcation problems given by P.B.Percell and P.N.Brown.

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