Graph-theoretic conditions for injectivity of functions on rectangular domains
Functional Analysis
2010-04-30 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.0911.0843,
title = {Graph-theoretic conditions for injectivity of functions on rectangular domains},
author = {Murad Banaji},
journal= {arXiv preprint arXiv:0911.0843},
year = {2010}
}
Comments
16 pages, 5 figures