Two-Sided Approximation of Solutions of a Multipoint Problem for an Ordinary Differential Equation with Parameters

• Date: 2005
• Main Authors: Mentynskyi, S. M., Ментинський, С. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3579
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We construct an algorithm for the two-sided approximation of a solution of a multipoint boundary-value problem for a quasilinear differential equation under assumptions that are two-sided analogs of the Pokornyi B-monotonicity of the right-hand side of the equation. We establish conditions for the m...