Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-28T11:34:11.824Z Has data issue: false hasContentIssue false
  • English
  • Français

Existence result for a class of nonlinear third-order two-point boundary-value problems

Part of: Boundary value problems

Published online by Cambridge University Press:  23 September 2009

Libo Wang ,
Minghe Pei  and
Weigao Ge
Libo Wang
Affiliation:
Department of Mathematics, Beihua University, Ji'lin 132013, People's Republic of China; Email: ([email protected])
Minghe Pei
Affiliation:
Department of Mathematics, Beihua University, Ji'lin 132013, People's Republic of China; Email: ([email protected])
Weigao Ge
Affiliation:
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, People's Republic of China
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The upper and lower solutions method and Leray–Schauder degree theory are employed to establish the existence result for a class of nonlinear third-order two-point boundary-value problems with a sign-type Nagumo condition.

Keywords

sign-type Nagumo conditionupper and lower solutions methodLeray–Schauder degree theory

MSC classification

Secondary: 34B15: Nonlinear boundary value problems
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 52 , Issue 3 , October 2009 , pp. 787 - 796
Copyright
Copyright © Edinburgh Mathematical Society 2009