Implicit function theorem via the DSM
نویسنده
چکیده
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. © 2009 Elsevier Ltd. All rights reserved.
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تاریخ انتشار 2009