On the Existence of Positive Solutions of Fourth-Order Ordinary Differential Equations

Ma Ruyun, Haiyan Wang

Research output: Contribution to journalArticle

161 Citations (Scopus)

Abstract

We study the existence of positive solutions of the equations [formula omitted] with either y(0)=y(1)=y”(0)=y”(1)=0 or y(0)=y'(1)=y”(0)=y”(1)=0. We show the existence of at least one positive solution if f is either superlinear or sublinear by a simple application of a Fixed Point Theorem in cones.

Original languageEnglish (US)
Pages (from-to)225-231
Number of pages7
JournalApplicable Analysis
Volume59
Issue number1-4
DOIs
StatePublished - Jan 1 1995
Externally publishedYes

Fingerprint

Fixed Point Theorem in Cones
Existence of Positive Solutions
Ordinary differential equations
Fourth Order
Cones
Positive Solution
Ordinary differential equation

Keywords

  • existence
  • fourth-order ordinary differential equation
  • positive solution

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On the Existence of Positive Solutions of Fourth-Order Ordinary Differential Equations. / Ruyun, Ma; Wang, Haiyan.

In: Applicable Analysis, Vol. 59, No. 1-4, 01.01.1995, p. 225-231.

Research output: Contribution to journalArticle

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