Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619107 | Journal of Mathematical Analysis and Applications | 2010 | 10 Pages |
Abstract
This paper presents sufficient graph-theoretic conditions for injectivity of collections of differentiable functions on rectangular subsets of Rn. 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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