Graph-theoretic conditions for injectivity of functions on rectangular domains

Murad Banaji

doi:10.1016/j.jmaa.2010.04.078

Graph-theoretic conditions for injectivity of functions on rectangular domains

Murad Banaji

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Abstract

This paper presents sufficient graph-theoretic conditions for injectivity of collections of differentiable functions on rectangular subsets of . 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.

Original language	English
Pages (from-to)	302-311
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	370
DOIs	https://doi.org/10.1016/j.jmaa.2010.04.078
Publication status	Published - 1 Oct 2010

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10.1016/j.jmaa.2010.04.078

1-s2.0-S0022247X10003896-mainFinal published version, 260 KBLicence: CC BY-NC-SA

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abstract = "This paper presents sufficient graph-theoretic conditions for injectivity of collections of differentiable functions on rectangular subsets of . 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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AB - This paper presents sufficient graph-theoretic conditions for injectivity of collections of differentiable functions on rectangular subsets of . 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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JO - Journal of Mathematical Analysis and Applications

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Graph-theoretic conditions for injectivity of functions on rectangular domains

Abstract

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