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March  2008, 1(1): 89-97. doi: 10.3934/dcdss.2008.1.89

Positive solutions of a third order nonlocal boundary value problem

John R. Graef 1, and  Bo Yang 2,

1. 

Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, United States
2. 

Department of Mathematics and Statistics, Kennesaw State University, Kennesaw, GA 30144

Received  September 2006 Revised  August 2007 Published  December 2007

We consider a nonlocal boundary value problem for a third order differential equation. Sufficient conditions for the existence and nonexistence of positive solutions for the problem are obtained. The results are illustrated with some examples.
Keywords: existence of positive solutions, nonexistence of positive solutions, nonlinear equations, Boundary value problems, nonlocal problems..
Mathematics Subject Classification: Primary: 34B1.
Citation: John R. Graef, Bo Yang. Positive solutions of a third order nonlocal boundary value problem. Discrete and Continuous Dynamical Systems - S, 2008, 1 (1) : 89-97. doi: 10.3934/dcdss.2008.1.89
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