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Open Access Research

Multiple monotone positive solutions for higher order differential equations with integral boundary conditions

Xinan Hao* and Lishan Liu

Author Affiliations

School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165, P.R. China

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Boundary Value Problems 2014, 2014:74  doi:10.1186/1687-2770-2014-74

Published: 28 March 2014

Abstract

This paper investigates the higher order differential equations with nonlocal boundary conditions

<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/74/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/74/mathml/M1">View MathML</a>

The existence results of multiple monotone positive solutions are obtained by means of fixed point index theory for operators in a cone.

MSC: 34B10, 34B18.

Keywords:
monotone positive solutions; multiplicity; higher order differential equations; nonlocal boundary conditions