Global inverse function theorem
- 1 March 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 19 (2) , 199-201
- https://doi.org/10.1109/tct.1972.1083429
Abstract
A simple proof of global inverse function theorem inR^{n}is given. A global homeomorphic version of the theorem is proved first. A global diffeomorphic version follows by an application of the classical local inverse function theorem.Keywords
This publication has 10 references indexed in Scilit:
- Piecewise-Linear Theory of Nonlinear NetworksSIAM Journal on Applied Mathematics, 1972
- Some results on existence and uniqueness of solutions of nonlinear networksIEEE Transactions on Circuit Theory, 1971
- Necessary and sufficient conditions for the global invertibility of certain nonlinear operators that arise in the analysis of networksIEEE Transactions on Circuit Theory, 1971
- Nonlinear circuit theory: Resistive networksProceedings of the IEEE, 1971
- Linear transformation converter and its application to the synthesis of nonlinear networksIEEE Transactions on Circuit Theory, 1970
- Theorems on the Computation of the Transient Response of Nonlinear Networks Containing Transistors and DiodesBell System Technical Journal, 1970
- Theorems on the Analysis of Nonlinear Transistor Networks*Bell System Technical Journal, 1970
- State-Variable Analysis of RLC Networks Containing Nonlinear Coupling ElementsIEEE Transactions on Circuit Theory, 1969
- Some Theorems on Properties of DC Equations of Nonlinear NetworksBell System Technical Journal, 1969
- Natural operations on differential formsTransactions of the American Mathematical Society, 1959