| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841935 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 6 Pages |
Abstract
Sufficient conditions are given for an implicit function theorem to hold. The result is established by an application of the Dynamical Systems Method (DSM). It allows one to solve a class of nonlinear operator equations in the case when the Fréchet derivative of the nonlinear operator is a smoothing operator, so that its inverse is an unbounded operator.
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Authors
A.G. Ramm,