Method of accelerated convergence for the construction of solutions of a Noetherian boundary-value problem

Authors

  • О. A. Boichuk
  • S. M. Chuiko

Abstract

We study the problem of finding conditions for the existence of solutions of weakly nonlinear Noetherian boundary-value problems for systems of ordinary differential equations and the construction of these solutions. A new iterative procedure with accelerated convergence is proposed for the construction of solutions of a weakly nonlinear Noetherian boundary-value problem for a system of ordinary differential equations in the critical case.

Published

25.12.2008

Issue

Section

Research articles

How to Cite

Boichuk О. A., and S. M. Chuiko. “Method of Accelerated Convergence for the Construction of Solutions of a Noetherian Boundary-Value Problem”. Ukrains’kyi Matematychnyi Zhurnal, vol. 60, no. 12, Dec. 2008, pp. 1587–1601, https://umj.imath.kiev.ua/index.php/umj/article/view/3273.