Graph-theoretic conditions for injectivity of functions on rectangular domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:370

Article

Banaji, Murad

关键词: Injectivity;    Interaction graph;    DSR graph;    Multiple equilibria;   

DOI  :  10.1016/j.jmaa.2010.04.078

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free