Differential and Integral Equations

Positive solutions of a nonlinear ordinary differential equation

Abstract

In this paper we characterize the set of positive solutions of the nonlinear boundary value problem $v''(x)-\varepsilon v^{-q}(x)=0,$ $0 <x <1,$ $v'(0)=0,$ $v'(1)=v^p(1)$.

Article information

Source
Differential Integral Equations, Volume 15, Number 5 (2002), 607-622.

Dates
First available in Project Euclid: 21 December 2012

https://projecteuclid.org/euclid.die/1356060832

Mathematical Reviews number (MathSciNet)
MR1895898

Zentralblatt MATH identifier
1018.34024

Subjects
Primary: 34B18: Positive solutions of nonlinear boundary value problems
Secondary: 34B15: Nonlinear boundary value problems

Citation

Deng, Keng; Zhao, Cheng-Lin. Positive solutions of a nonlinear ordinary differential equation. Differential Integral Equations 15 (2002), no. 5, 607--622. https://projecteuclid.org/euclid.die/1356060832