The solvability and numerical simulation for the elastic beam problems with nonlinear boundary conditions
type: Item
instance of: scholarly article
title: The solvability and numerical simulation for the elastic beam problems with nonlinear boundary conditions
zbMATH Open document ID: 1470.74070
DOI: 10.1155/2014/454658
author: Qun Gao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. The proof is based on some three critical points theorems of B. Ricceri. Furthermore, numerical simulations are also presented.
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B08
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 7022407
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/454658
OpenAlex ID: W2102949373
Wikidata QID: Q59038331
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description: scientific article; zbMATH DE number 7022407