Document Type
Pre-Print
Publication Date
10-15-2011
Abstract
We discuss the problem of global invertibility of nonlinear maps defined on the finitedimensional Euclidean space via differential tests. We provide a generalization of theFujisawa-Kuh global inversion theorem and introduce a generalized ratio conditionwhich detects when the pre-image of a certain class of linear manifolds is non-emptyand connected. In particular, we provide conditions that also detect global injectivity.
Identifier
10.1016/j.jmaa.2011.04.092
Publisher
Elsevier Inc.
Repository Citation
Radulescu, M., Radulescu, S., & Balreira, E.C. (2011). A generalization of the Fujisawa–Kuh global inversion theorem. Journal of Mathematical Analysis and Applications, 382(2), 559-564. doi:10.1016/j.jmaa.2011.04.092
Publication Information
Journal of Mathematical Analysis and Applications