An Implicit Function Theorem for Nondifferentiable Mappings

DOI10.2307/2037915zbMath0264.47045OpenAlexW4239670352MaRDI QIDQ5680666

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Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2037915

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (5)

An open mapping principle for set-valued maps ⋮ Implicit function theorems, approximate solvability of nonlinear equations, and error estimates ⋮ An inversion theorem for set-valued maps ⋮ Boundary value problems and periodic solutions for contingent differential equations ⋮ On eigenvalue problems for nondifferentiable mappings

Cites Work

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• Asymptotic behavior for differential equations which cannot be locally linearized
• An integral form of the mean value theorem for nondifferentiable mappings
• Sur la dépendance continue des solutions des équations différentielles ordinaires de leurs seconds membres et des conditions aux limites

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