Title | A FOURTH ORDER SINGULAR THREE POINT BOUNDARY VALUE PROBLEM |

Publication Type | Journal Article |

Year of Publication | 2010 |

Authors | Henderson, J |

Journal | International Electronic Journal of Pure and Applied Mathematics |

Volume | 1 |

Issue | 1 |

Start Page | 1 |

Date Published | 01/2010 |

Type of Article | Scientific article |

ISSN | 1314-0744 |

Keywords | boundary value problem, fixed point theorem, three-point |

Abstract | The existence of a positive solution is obtained for the fourth order three point boundary value problem, $y^{(4)}+f(x,y)=0$, $0<x\leq 1$, $y(0)=y'(p)=y''(p)=y'''(1)=0$, where $0<p<1$ is fixed and where $f(x,r)$ is singular at $x=0,$ $r=0,$ and possibly at $r= \infty.$ The method applies a fixed point theorem for mappings that are decreasing with respect to a cone. |

URL | http://www.e.ijpam.eu/contents/articles/201000101001.pdf |

Short Title | A FOURTH ORDER SINGULAR THREE POINT... |

Refereed Designation | Refereed |