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

  • S. M. Mentynskyi

Abstract

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 monotonicity of successive approximations and their uniform convergence to a solution of the problem.
Published
25.01.2005
How to Cite
Mentynskyi, S. M. “Two-Sided Approximation of Solutions of a Multipoint Problem for an Ordinary Differential Equation With Parameters”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 1, Jan. 2005, pp. 125–130, https://umj.imath.kiev.ua/index.php/umj/article/view/3579.
Section
Short communications