On the existence of positive solutions of ordinaryd ifferentiale quations

L. H. Erbe; Haiyan Wang

doi:10.1090/S0002-9939-1994-1204373-9

On the existence of positive solutions of ordinaryd ifferentiale quations

L. H. Erbe, Haiyan Wang

Mathematical and Natural Sciences, School of (SMNS)

Research output: Contribution to journal › Article › peer-review

483 Scopus citations

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	https://doi.org/10.1090/S0002-9939-1994-1204373-9
State	Published - Mar 1994

Keywords

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

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1994-1204373-9

Cite this

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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",

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KW - Fixed point theorem in cones

KW - Positive solution

KW - Superlinear and sublinear

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On the existence of positive solutions of ordinaryd ifferentiale quations

Abstract

Keywords

ASJC Scopus subject areas

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