On nonseparated three-point boundary value problems for linear functional differential equations
type: Item
instance of: scholarly article
title: On nonseparated three-point boundary value problems for linear functional differential equations
zbMATH Open document ID: 1227.34067
DOI: 10.1155/2011/326052
published in: Abstract and Applied Analysis
publication date: 2011-09-09T00:00:00Z
review text: Summary: For a system of linear functional differential equations, we consider a three-point problem with nonseparated boundary conditions determined by singular matrices. We show that, to investigate such a problem, it is often useful to reduce it to a parametric family of two-point boundary value problems for a suitably perturbed differential system. The auxiliary parametrised two-point problems are then studied by a method based upon a special kind of successive approximations constructed explicitly, whereas the values of the parameters that correspond to solutions of the original problem are found from certain numerical determining equations. We prove the uniform convergence of the approximations and establish some properties of the limit and determining functions.
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K07
zbMATH DE Number: 5946502
zbMATH Keywords: parametric family of two-point boundary value problems
zbMATH Keywords: successive approximations
Wikidata QID: Q58654132
author: A. Rontó
author: M. Rontó
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/326052
OpenAlex ID: W2155831676
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description: scientific article; zbMATH DE number 5946502