Quasilinearization for the boundary value problem of second-order singular differential system
type: Item
instance of: scholarly article
title: Quasilinearization for the boundary value problem of second-order singular differential system
zbMATH Open document ID: 1295.34033
DOI: 10.1155/2013/308413
author: Peiguang Wang
author: Tiantian Kong
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We study boundary value problems for second-order singular differential equations. At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative sequences, which converge uniformly and quadratically to the unique solution of the IVPs. Finally, we get the similar result for the given BVPs.
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6306642
zbMATH Keywords: monotone iterative sequences
Wikidata QID: Q58915900
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/308413
OpenAlex ID: W2135466718
cites work: Q4397695
cites work: Generalized quasilinearization for singular system of differential equations.
cites work: Q3852479
cites work: Q3794522
description: scientific article; zbMATH DE number 6306642