We obtain upper and lower estimates for positive solutions of a third-order three-point boundary-value problem. Sufficient conditions for the existence and nonexistence of positive solutions for the problem are also obtained. Then to illustrate our results, we include an example.
Submitted June 18, 2008. Published July 25, 2008.
Math Subject Classifications: 34B18, 34B10.
Key Words: Fixed point theorem; cone; multi-point boundary-value problem; upper and lower estimates.
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| Bo Yang |
Department of Mathematics
Kennesaw State University
Kennesaw, GA 30144, USA
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