Open Access Research

Structure of positive solution sets of differential boundary value problems

Xu Xian and Zhu Xunxia*

Author Affiliations

Department of Mathematics, Jiangsu Normal University, Xuzhou, Jiangsu, 221116, P.R. China

For all author emails, please log on.

Boundary Value Problems 2013, 2013:100  doi:10.1186/1687-2770-2013-100

Published: 22 April 2013

Abstract

In this paper, we first obtain some results on the structure of positive solution sets of differential boundary value problems. Then by using the results, we obtain an existence result for differential boundary value problems. The method used to show the main result is the global bifurcation theory.

Keywords:
structure of positive solution sets; differential boundary value problems; bifurcation theory