Inequalities for solutions to some nonlinear equations

2003/01/31 by A. G. Ramm, Ramm, A. G.
Mathematics · #37C35 #37L05 #37N30 #47H15 #58C15 #65J15 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37C35 #msc:37L05 #msc:37N30 #msc:47H15 #msc:58C15 #msc:65J15

paper · pdf · doi:10.48550/arxiv.math/0301381

arxiv created 2003/01/31 · arxiv updated 2009/11/30

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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