### Abstract

We study the existence of positive solutions of the equation u^{“}+ a(t)f(u) = 0 with linear boundary conditions. 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) | 743-748 |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 120 |

Issue number | 3 |

DOIs | |

State | Published - 1994 |

Externally published | Yes |

### Fingerprint

### Keywords

- Boundary value problems
- Fixed point theorem in cones
- Positive solution
- Superlinear and sublinear

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**On the existence of positive solutions of ordinaryd ifferentiale quations.** / Erbe, L. H.; Wang, Haiyan.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 120, no. 3, pp. 743-748. https://doi.org/10.1090/S0002-9939-1994-1204373-9

}

TY - JOUR

T1 - On the existence of positive solutions of ordinaryd ifferentiale quations

AU - Erbe, L. H.

AU - Wang, Haiyan

PY - 1994

Y1 - 1994

N2 - We study the existence of positive solutions of the equation u“+ a(t)f(u) = 0 with linear boundary conditions. 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 equation u“+ a(t)f(u) = 0 with linear boundary conditions. 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 - Boundary value problems

KW - Fixed point theorem in cones

KW - Positive solution

KW - Superlinear and sublinear

UR - http://www.scopus.com/inward/record.url?scp=84966234102&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966234102&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1994-1204373-9

DO - 10.1090/S0002-9939-1994-1204373-9

M3 - Article

VL - 120

SP - 743

EP - 748

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -