Vol. 249, No. 1, 2011

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Positive solutions for a nonlinear third order multipoint boundary value problem

Yang Liu, Zhang Weiguo, Liu Xiping, Shen Chunfang and Chen Hua

Vol. 249 (2011), No. 1, 177–188
Abstract

By using the Avery–Peterson fixed point theorem, we obtain the existence of three positive solutions for a third order multipoint boundary value problem. An example illustrates the main results.

Keywords
third order multipoint boundary value problem, positive solution, cone, fixed point
Mathematical Subject Classification 2000
Primary: 34B10
Secondary: 34B15
Milestones
Received: 18 October 2009
Revised: 9 March 2010
Accepted: 5 May 2010
Published: 3 January 2011
Authors
Yang Liu
University of Shanghai for Science and Technology
Shanghai 200093
China
Department of Mathematics
Hefei Normal University
Hefei 230601
China
Zhang Weiguo
University of Shanghai for Science and Technology
Shanghai 200093
China
Liu Xiping
University of Shanghai for Science and Technology
Shanghai 200093
China
Shen Chunfang
Department of Mathematics
Hefei Normal University
Hefei 230601
China
Chen Hua
Department of Mathematics
Hohai University, Changzhou Campus
Changzhou 213022
China