Method for solving a nonlinear spectral problem for a system of ordinary differential equations with redundant conditions
type: Item
instance of: scholarly article
title: Method for solving a nonlinear spectral problem for a system of ordinary differential equations with redundant conditions
zbMATH Open document ID: 1339.34089
DOI: 10.1134/S0012266115070058
author: A. A. Abramov
author: L. F. Yukhno
published in: Differential Equations
publication date: 2015-10-14T00:00:00Z
review text: As a continuation of preceding works, the authors continue to find a numerical method to solve some spectral problem for linear ordinary differential equations. More precisely, the problem involves a nonlinear spectral parameter, nonlocal boundary conditions, redundant conditions and therefore is overdetermined. In the present paper, based on the argument principle, an appropriate auxiliary problem has been imposed and a numerically stable solving method has been proposed.
reviewed by: Meirong Zhang
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34B09
zbMATH DE Number: 6493785
zbMATH Keywords: boundary value problem
zbMATH Keywords: nonlocal boundary condition
zbMATH Keywords: spectral problem
zbMATH Keywords: redundant condition
zbMATH Keywords: argument principle
MaRDI profile type: Publication
cites work: Q3770753
cites work: A Numerical Method for Locating the Zeros of an Analytic Function
cites work: Determining the number of eigenvalues of a spectral problem
cites work: Q5693944
cites work: Nonlinear eigenvalue problem for a system of ordinary differential equations subject to a nonlocal condition
cites work: Solving a system of linear ordinary differential equations with redundant conditions
cites work: Nonlinear spectral problem for a Hamiltonian system of differential equations with redundant conditions
cites work: Q5310948
full work available at URL: s0012266115070058
OpenAlex ID: W1937601041
description: scientific article; zbMATH DE number 6493785