Two-Sided Approximation of Solutions of a Multipoint Problem for an Ordinary Differential Equation with Parameters
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.
English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 1, pp 149-156.
Citation Example: Mentynskyi S. M. Two-Sided Approximation of Solutions of a Multipoint Problem for an Ordinary Differential Equation with Parameters // Ukr. Mat. Zh. - 2005. - 57, № 1. - pp. 125–130.