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Inequalities for solutions to some nonlinear equations

A. G. Ramm
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Abstract

Let $F$ be a nonlinear Frechet differentiable map in a real Hilbert space. Condition sufficient for existence of a solution to the equation $F(u)=0$ is given, and a method (dynamical systems method, DSM) to calculate the solution as the limit of the solution to a Cauchy problem is justified under suitable assumptions.

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A. G. Ramm. 2003-01-31. Inequalities for solutions to some nonlinear equations. https://arxiv.org/abs/math/0301381

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