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Open Access Research

Symmetric positive solutions of higher-order boundary value problems

Yan Luo

Author Affiliations

Department of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan, 411201, China

Boundary Value Problems 2014, 2014:78  doi:10.1186/1687-2770-2014-78

Published: 3 April 2014

Abstract

We study the higher-order boundary value problems. The existence of symmetric positive solutions of the problem is discussed. Our results extend some recent work in the literature. The analysis of this paper mainly relies on the monotone iterative technique.

MSC: 34B15, 34B18.

Keywords:
higher-order boundary value problems; symmetric positive solutions; existence; monotone iterative technique