Graph-theoretic conditions for injectivity of functions on rectangular domains

Banaji, Murad ORCID: https://orcid.org/0000-0002-4983-0377 (2010) Graph-theoretic conditions for injectivity of functions on rectangular domains. Journal of Mathematical Analysis and Applications, 370 (1) . pp. 302-311. ISSN 0022-247X [Article] (doi:10.1016/j.jmaa.2010.04.078)

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Abstract

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.

Item Type: Article
Research Areas: A. > School of Science and Technology > Design Engineering and Mathematics
Item ID: 20585
Depositing User: Murad Banaji
Date Deposited: 23 Sep 2016 10:30
Last Modified: 19 Jun 2021 00:53
URI: https://eprints.mdx.ac.uk/id/eprint/20585

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