Graph-theoretic conditions for injectivity of functions on rectangular domains

Details Graph-theoretic conditions for injectivity of functions on rectangular domains Graph-theoretic conditions for injectivity of functions on rectangular domains

2009-11-04

arxiv.org/abs/0911.0843v2

Mathematics

Functional Analysis

16 pages, 5 figures

Scientific paper

This paper presents sufficient graph-theoretic conditions for injectivity of
collections of differentiable functions on rectangular subsets of R^n. The
results have implications for the possibility of multiple fixed points of maps
and flows. Well-known results on systems with signed Jacobians are shown to be
easy corollaries of more general results presented here.

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