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Open Access Research Article

Existence of Positive Solutions of a Singular Nonlinear Boundary Value Problem

Ruyun Ma1* and Jiemei Li12

Author Affiliations

1 College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China

2 The School of Mathematics, Physics & Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China

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Boundary Value Problems 2010, 2010:458015  doi:10.1155/2010/458015

Published: 18 August 2010

Abstract

We are concerned with the existence of positive solutions of singular second-order boundary value problem , , , which is not necessarily linearizable. Here, nonlinearity is allowed to have singularities at . The proof of our main result is based upon topological degree theory and global bifurcation techniques.