Diffeomorphisms with Banach space domains
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Publication:4695756
DOI10.1016/0362-546X(92)90104-MzbMath0807.46044arXiv1204.4264MaRDI QIDQ4695756
Publication date: 29 June 1993
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.4264
Related Items (17)
Global invertibility of mappings between Banach spaces and applications to nonlinear equations ⋮ Global inversion of functions: An introduction ⋮ Global existence of solutions for perturbed differential equations ⋮ Global inversion theorems via coercive functionals on metric spaces ⋮ Structural analysis in biology: a control-theoretic approach ⋮ Local homeo- and diffeomorphisms: invertibility and convex image ⋮ A global inversion theorem for functions with singular points ⋮ Polyhedral Lyapunov functions structurally ensure global asymptotic stability of dynamical networks iff the Jacobian is non-singular ⋮ Global homeomorphisms and covering projections on metric spaces ⋮ Estimating invertible domains of diffeomorphisms ⋮ The periodic boundary value problem for semilinear elastic beam equations: the resonance case ⋮ Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations ⋮ Criteria for the global invertibility of \(C^{1}\) functions between Banach spaces ⋮ Periodic solutions for \(2k\)th order ordinary differential equations with resonance ⋮ An application of a global inversion theorem to an existence and uniqueness theorem for a class of nonlinear systems of differential equations ⋮ On the solution of nonlinear two-point boundary value problem ⋮ Periodic solutions for \(2k\)th boundary value problem with resonance
Cites Work
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- Finding domains of invertibility for smooth functions by means of attraction basins
- On the Jacobian conjecture for global asymptotic stability
- Global inversion theorems and applications to differential equations
- Global inverse function theorems
- Homeomorphisms Between Banach Spaces
- A criterion of invertibility in the large for local diffeomorphisms between Banach spaces
- On Solving Nonlinear Equations with a One-Parameter Operator Imbedding
- Über mehrdeutige stetige Abbildungen
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