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Titlebook: Differentiable Operators and Nonlinear Equations; Victor Khatskevich,David Shoiykhet Book 1994 Springer Basel AG 1994 banach spaces.calcul

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Non-regular solutions of nonlinear equations,Let. and . be domains in the Banach spaces.and ., respectively, and let . be an operator acting from the topological product.into.. Assume that, for a given λ. ∈Ω, the equation.has the solution., i.e., ..
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Juanita Heigham,Robert A. Croker these notions we defined the classes of .-times differentiable operators, 1 ≤ m ≤ ∞, as well as the class of analytic operators. In the general case, each of these classes is a proper part of the previous one. However, when.and.are complex spaces and . is differentiable on a nieghborhood of the giv
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