An extension to Hadamard global inverse function theorem in the plane

DOI10.1016/0362-546X(93)90095-AzbMath0774.34041OpenAlexW2080590444MaRDI QIDQ5287337

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Publication date: 7 November 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90095-a

zbMATH Keywords

injectivityglobal asymptotic stabilityglobal invertibilityHadamard's hypothesisautonomous plane differential systemJacobian conjectures

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (9)

A connection between isochronous Hamiltonian centres and the Jacobian Conjecture ⋮ Global inversion of functions: An introduction ⋮ Behavior on level sets and global inversion ⋮ Partial properness and real planar maps ⋮ Injectivity of non-singular planar maps with disconnecting curves in the eigenvalues space ⋮ Two characterizations of diffeomorphisms of Euclidean space. ⋮ Fibrations and global injectivity of local homeomorphisms ⋮ On global invertibility of semi-algebraic local diffeomorphisms ⋮ Fibrations of real valued functions

Cites Work

• Jacobian problems in differential equations and algebraic geometry
• Global asymptotic stability of differential equations in the plane
• On the Jacobian conjecture for global asymptotic stability
• On the existence of global first integrals in the plane
• Global stability of second order autonomous differential equations
• Parallel dynamical systems
• One-One Polynomial Maps
• Injective Morphisms of Real Algebraic Varieties
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• On Global Asymptotic Stability of Solutions of Differential Equations
• Two remarks on the stability of ordinary differential equations
• On the Diffeomorphisms of Euclidean Space
• Global Structure of Ordinary Differential Equations in the Plane
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