Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 1
Submit an article Journal homepage
82
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

On the Positive Solutions of a Nonlinear Fourth-order Boundary Value Problem with Two Parameters

Qingliu Yao Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China
Pages 97-107 | Received 07 Jul 2002, Accepted 02 May 2003, Published online: 23 Aug 2006
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

The existence of m positive solutions is proven for a nonlinear fourth-order boundary value problem with two parameters, where m is an arbitrary natural number. This kind of fourth-order boundary value problems usually describes the equilibrium state of elastic beam where both ends are simply supported. The main ingredient is Krasnosel'skii fixed point theorem of cone expansion–compression type.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,361.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.