Article ID Journal Published Year Pages File Type
4619107 Journal of Mathematical Analysis and Applications 2010 10 Pages PDF
Abstract

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

Related Topics
Physical Sciences and Engineering Mathematics Analysis