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Open Access Research

Symmetric positive solutions to a second-order boundary value problem with integral boundary conditions

Huihui Pang1* and Yulong Tong2

Author Affiliations

1 College of Science, China Agricultural University, Beijing, 100083, P.R. China

2 The School of Statistics, Renmin University of China, Beijing, 100872, P.R. China

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Boundary Value Problems 2013, 2013:150  doi:10.1186/1687-2770-2013-150

Published: 25 June 2013

Abstract

This paper investigates the existence of concave symmetric positive solutions and establishes corresponding iterative schemes for a second-order boundary value problem with integral boundary conditions. The main tool is a monotone iterative technique. Meanwhile, an example is worked out to demonstrate the main results.

Keywords:
integral boundary conditions; iterative; monotone positive solution; symmetric; completely continuous