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

• Date: 2008
• Main Authors: Boichuk, О. A., Chuiko, S. M., Бойчук, А. А., Чуйко, С. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3273
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 construc...