Graph-theoretic conditions for injectivity of functions on rectangular domains

Article

Banaji, M. 2010. Graph-theoretic conditions for injectivity of functions on rectangular domains. Journal of Mathematical Analysis and Applications. 370 (1), pp. 302-311. https://doi.org/10.1016/j.jmaa.2010.04.078
TypeArticle
TitleGraph-theoretic conditions for injectivity of functions on rectangular domains
AuthorsBanaji, M.
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.

JournalJournal of Mathematical Analysis and Applications
ISSN0022-247X
Publication dates
Print04 May 2010
Publication process dates
Deposited23 Sep 2016
Accepted01 Mar 2010
Output statusPublished
Accepted author manuscript
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jmaa.2010.04.078
LanguageEnglish
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