Graph-theoretic conditions for injectivity of functions on rectangular domains
classification
🧮 math.FA
math.CO
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resultsconditionsfunctionsgraph-theoreticinjectivityrectangularcollectionscorollaries
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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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