Work

On the Existence of Positive Solutions of Ordinary Differential Equations

Year: 1994

Type: article

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.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-1994-1204373-9

Authors: L. H. Erbe, Haiyan Wang

Institution: University of Alberta

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2020070516

FWCI: 14.59

Cites: 15

Cited by: 504

Related to: 10