Open Access Research

On positive solutions for nonhomogeneous m-point boundary value problems with two parameters

Fanglei Wang1* and Yukun An2

Author Affiliations

1 College of Science, Hohai University, Nanjing, 210098, P.R. China

2 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R. China

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Boundary Value Problems 2012, 2012:87 doi:10.1186/1687-2770-2012-87

Published: 6 August 2012

Abstract

This paper is concerned with the existence, multiplicity, and nonexistence of positive solutions for nonhomogeneous m-point boundary value problems with two parameters. The proof is based on the fixed-point theorem, the upper-lower solutions method, and the fixed-point index.

MSC: 34B10, 34B18.

Keywords:
nonhomogeneous BVP; positive solutions; upper-lower solutions; fixed-point theorem; fixed point index