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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 614376, 7 pages
http://dx.doi.org/10.1155/2014/614376
Global Structure of Positive Solutions for a Singular Fourth-Order Integral Boundary Value Problem
Department of Basic Courses, Lanzhou Institute of Technology, Lanzhou 730050, China
Received 11 November 2013; Revised 14 December 2013; Accepted 16 December 2013; Published 8 January 2014
Academic Editor: Gabriele Bonanno
Copyright © 2014 Wenguo Shen and Tao He. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We consider fourth-order boundary value problems , where is a Stieltjes integral with being nondecreasing and being not a constant on may be singular at and , with on any subinterval of ; and for all , and We investigate the global structure of positive solutions by using global bifurcation techniques.