Inequalities for solutions to some nonlinear equations

Details Inequalities for solutions to some nonlinear equations Inequalities for solutions to some nonlinear equations

2003-01-31

arxiv.org/abs/math/0301381v1

Mathematics

Dynamical Systems

Scientific paper

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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