A note on global inversion theorems and applications to differential equations

DOI10.1016/0362-546X(81)90009-2zbMath0474.46034OpenAlexW1985817265MaRDI QIDQ3930230

Mihai Cristea

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90009-2

zbMATH Keywords

uniquenessglobal existence of solutionsglobal inversion theoremsHadamard-Levy's theoremCauchy's problem for differential equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) General theory of ordinary differential operators (47E05) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (6)

Local inversion theorems without assuming continuous differentiability ⋮ On global implicit function theorem ⋮ An application of a global inversion theorem to an existence and uniqueness theorem for a class of nonlinear systems of differential equations ⋮ Global univalence and global inversion theorems in Banach spaces ⋮ On the periodic solution to the Newtonian equation of motion ⋮ Revisiting estimates for domains of invertibility of diffeomorphisms

Cites Work

• Global inversion theorems and applications to differential equations
• Homeomorphisms Between Banach Spaces
• Nonlinear Fredholm Maps of Index Zero and Their Singularities

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