On the existence of positive solutions of ordinaryd ifferentiale quations

L. H. Erbe, Haiyan Wang

Research output: Contribution to journalArticle

451 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)743-748
Number of pages6
JournalProceedings of the American Mathematical Society
Volume120
Issue number3
DOIs
StatePublished - 1994
Externally publishedYes

Fingerprint

Fixed Point Theorem in Cones
Existence of Positive Solutions
Cones
Positive Solution
Boundary conditions

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.

In: Proceedings of the American Mathematical Society, Vol. 120, No. 3, 1994, p. 743-748.

Research output: Contribution to journalArticle

@article{1fea8be6ade44c8ab8c6062ed82e5f99,
title = "On the existence of positive solutions of ordinaryd ifferentiale quations",
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.",
keywords = "Boundary value problems, Fixed point theorem in cones, Positive solution, Superlinear and sublinear",
author = "Erbe, {L. H.} and Haiyan Wang",
year = "1994",
doi = "10.1090/S0002-9939-1994-1204373-9",
language = "English (US)",
volume = "120",
pages = "743--748",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "3",

}

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 -