Open Access Research

Positive solutions of third-order nonlocal boundary value problems at resonance

Hai-E Zhang1* and Jian-Ping Sun2

Author Affiliations

1 Department of Basic Teaching, Tangshan College, Tangshan, Hebei, 063000, People’s Republic of China

2 Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, People’s Republic of China

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Boundary Value Problems 2012, 2012:102 doi:10.1186/1687-2770-2012-102

Published: 18 September 2012

Abstract

In this paper, we investigate the existence of positive solutions for a class of third-order nonlocal boundary value problems at resonance. Our results are based on the Leggett-Williams norm-type theorem, which is due to O’Regan and Zima. An example is also included to illustrate the main results.

MSC: 34B10, 34B15.

Keywords:
third-order; nonlocal; at resonance; positive solution