Formulas for higher-order Fréchet derivatives of composite maps, implicitly defined maps and solutions of differential equations

DOI10.1016/0362-546X(91)90025-VzbMath0760.46037OpenAlexW2032940950MaRDI QIDQ3970957

Krzysztof P. Rybakowski

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90025-v

zbMATH Keywords

chain rulecomposite of finitely many mappingsformulas of higher-order derivatives and partial derivativesmappings defined by implicit equationsmappings defined by ordinary first order differential equations

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

The operator of inversion as an everywhere continuous nowhere differentiable function

Cites Work

• On proving existence and smoothness of invariant manifolds in singular perturbation problem
• Formulae for high derivatives of composite functions
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