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 (3)

• Global convergence for ill-posed equations with monotone operators: the dynamical systems method
• Continuous regularized Gauss-Newton-type algorithm for nonlinear ill-posed equations with simultaneous updates of inverse derivative
• Dynamical systems method for solving nonlinear equations with non-smooth monotone operators

Cited by in corpus (1)

• Dynamical systems method for solving linear ill-posed problems