The Workshop on Bifurcation Problems and their Numerical Solution, organized by the editors of this volume, took place at the University of Dortmund from January 15-17, 1980. The main object of this meeting was to bring together mathematicians from different places who were working in this field. Seventeen lectures were presented and discussed at the workshop. Most of them are published in these proceedings together with a survey article on the whole subject.

The contributions cover various aspects, ranging from new results in the Ljusternik-Sdinirelman theory to numerical methods for the computation of branch points, and from the discretization by multiple shooting to new results about bifurcation mode interactions. Further topics include the non-occurrence of bifurcation for discretized problems and bounds for turning points of nonlinear eigenvalue problems.

The organizers would like to express their gratitude to all participants of the workshop, to the authors of the published contributions and especially to the editors of the ISNM-series as well as Birkhauser Verlag for the rapid publication of these proceedings. Financial support by the Minister fur Wissenschaft und Forschung des Landes NordrhQin-Westfalen and by the Gesellschaft der Freunde der Universitat Dortmund is gratefully acknowledged.
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