Inequalities for solutions to some nonlinear equations

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.

References in corpus (1)

• Dynamical systems method for solving nonlinear equations with non-smooth monotone operators