Advertisement

Equations with smooth operators

  • M. A. Krasnosel’skii
  • G. M. Vainikko
  • P. P. Zabreiko
  • Ya. B. Rutitskii
  • V. Ya. Stetsenko
Chapter
  • 195 Downloads

Abstract

Consider the equation
$$Fx = 0,$$
(11.1)
where F is a Fréchet-differentiable nonlinear operator mapping a subset ℜ of a Banach space E1 into a Banach space E2. We shall find it convenient to assume that ℜ is a ball. The principal method for constructing successive approximations x n to a solution x* (if it exists) of equation (11.1) is based on successive linearization of the equation.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Wolters-Noordhoff Publishing, Groningen 1972

Authors and Affiliations

  • M. A. Krasnosel’skii
  • G. M. Vainikko
  • P. P. Zabreiko
  • Ya. B. Rutitskii
  • V. Ya. Stetsenko

There are no affiliations available

Personalised recommendations