Positive solutions for second-order m-point boundary-value problems with nonlinearity depending on the first derivative

Positive solutions for second-order m-point boundary-value problems with nonlinearity depending on the first derivative

We consider multiplicity of positive solutions for second-order m-point boundary-value problems, with the first order derivative involved in the nonlinear term. Using a fixed point theorem, we show the existence of at least three positive solutions. By giving an example we illustrate the main resul...

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Bibliographic Details
Main Authors: Liu Yang, Xiping Liu, Chunfang Shen
Format: Article
Language:English
Published: Texas State University 2006-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Boundary value problem
positive solution
cone
fixed point theorem.
Online Access:http://ejde.math.txstate.edu/Volumes/2006/24/abstr.html
Description
Summary:We consider multiplicity of positive solutions for second-order m-point boundary-value problems, with the first order derivative involved in the nonlinear term. Using a fixed point theorem, we show the existence of at least three positive solutions. By giving an example we illustrate the main result of the article.
ISSN:1072-6691

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