### 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 language | English (US) |
---|---|

Pages (from-to) | 225-231 |

Number of pages | 7 |

Journal | Applicable Analysis |

Volume | 59 |

Issue number | 1-4 |

DOIs | |

State | Published - Jan 1 1995 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

*Applicable Analysis*,

*59*(1-4), 225-231. https://doi.org/10.1080/00036819508840401

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

Research output: Contribution to journal › Article

*Applicable Analysis*, vol. 59, no. 1-4, pp. 225-231. https://doi.org/10.1080/00036819508840401

}

TY - JOUR

T1 - On the Existence of Positive Solutions of Fourth-Order Ordinary Differential Equations

AU - Ruyun, Ma

AU - Wang, Haiyan

PY - 1995/1/1

Y1 - 1995/1/1

N2 - 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.

AB - 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.

KW - existence

KW - fourth-order ordinary differential equation

KW - positive solution

UR - http://www.scopus.com/inward/record.url?scp=84952401788&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84952401788&partnerID=8YFLogxK

U2 - 10.1080/00036819508840401

DO - 10.1080/00036819508840401

M3 - Article

AN - SCOPUS:84952401788

VL - 59

SP - 225

EP - 231

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

IS - 1-4

ER -