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Strong derivatives and inverse mappings. (English) Zbl 0296.58002


MSC:

58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
58C15 Implicit function theorems; global Newton methods on manifolds
26E15 Calculus of functions on infinite-dimensional spaces
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
46G05 Derivatives of functions in infinite-dimensional spaces
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