# American Institute of Mathematical Sciences

2009, 2009(Special): 276-285. doi: 10.3934/proc.2009.2009.276

## Positive solutions of a nonlinear higher order boundary-value problem

 1 Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, United States, United States 2 Department of Mathematics and Statistics, Kennesaw State University, Kennesaw, GA 30144

Received  July 2008 Revised  April 2009 Published  September 2009

The authors study a higher order three point boundary value problem. Estimates for positive solutions are given; these estimates improve some recent results in the literature. Using these estimates, new sufficient conditions for the existence and nonexistence of positive solutions of the problem are obtained. An example illustrating the results is included.
Citation: John R. Graef, Lingju Kong, Bo Yang. Positive solutions of a nonlinear higher order boundary-value problem. Conference Publications, 2009, 2009 (Special) : 276-285. doi: 10.3934/proc.2009.2009.276
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