On Global Univalence Theorems [electronic resource] /

Preliminaries and statement of the problem -- P-matrices and N-matrices -- Fundamental global univalence results of Gale-Nikaido-Inada -- Global homeomorphisms between finite dimensional spaces -- Scarf's conjecture and its validity -- Global univalent results in R2 and R3 -- On the global stability of an autonomous system on the plane -- Univalence for mappings with Leontief type Jacobians -- Assorted applications of univalence mapping results -- Further generalizations and remarks.

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Bibliographic Details
Main Authors: Parthasarathy, T. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1983
Subjects:Mathematics., Mathematical analysis., Analysis (Mathematics)., Functions of real variables., Real Functions., Analysis.,
Online Access:http://dx.doi.org/10.1007/BFb0065566
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Summary:Preliminaries and statement of the problem -- P-matrices and N-matrices -- Fundamental global univalence results of Gale-Nikaido-Inada -- Global homeomorphisms between finite dimensional spaces -- Scarf's conjecture and its validity -- Global univalent results in R2 and R3 -- On the global stability of an autonomous system on the plane -- Univalence for mappings with Leontief type Jacobians -- Assorted applications of univalence mapping results -- Further generalizations and remarks.