English

Inequalities for solutions to some nonlinear equations

Dynamical Systems 2007-05-23 v1

Abstract

Let FF be a nonlinear Frechet differentiable map in a real Hilbert space. Condition sufficient for existence of a solution to the equation F(u)=0F(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.

Keywords

Cite

@article{arxiv.math/0301381,
  title  = {Inequalities for solutions to some nonlinear equations},
  author = {A. G. Ramm},
  journal= {arXiv preprint arXiv:math/0301381},
  year   = {2007}
}