Eigenfunction expansion method for multiple solutions of fourth-order ordinary differential equations with cubic polynomial nonlinearity
type: Item
instance of: scholarly article
title: Eigenfunction expansion method for multiple solutions of fourth-order ordinary differential equations with cubic polynomial nonlinearity
zbMATH Open document ID: 1402.65073
author: Abdrhaman Mahmoud
author: Bo Yu
author: Xuping Zhang
publication date: 2018-04-23T00:00:00Z
full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol48/abstract.php
review text: The authors consider numerically solutions of the following nonlinear boundary value problem \[ \begin{aligned} &y^{(4)}+\alpha y'' +\beta y =f(y) +g(y),\quad x\in (0,1) \\ & y(0) =y(1)=y'' (0) =y'' (1)=0.\end{aligned} \] The Eigenvalue Expansion Method is used to obtain multiple solutions.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 6862886
zbMATH Keywords: fourth-order ODEs
zbMATH Keywords: eigenfunction expansion method
zbMATH Keywords: system of polynomial equations
zbMATH Keywords: multiple solutions
zbMATH Keywords: homotopy continuation method
reviewed by: S. Yanchuk
describes a project that uses: Bertini
describes a project that uses: HOM4PS
describes a project that uses: PHCpack
describes a project that uses: PHoM
MaRDI profile type: Publication
OpenAlex ID: W2796424061
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DOI: 10.1553/ETNA_VOL48S81
Wikidata QID: Q130024501
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 6862886