INEQUALITIES FOR SOLUTIONS TO SOME NONLINEAR EQUATIONS

Abstract

Let F be a nonlinear Frechet differentiable map in a real Hilbert space. Condition su±cient 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.