John R. Graef, Lingju Kong, Bo Yang
Abstract:
We consider a third order three point boundary value problem.
Some upper and lower estimates for positive solutions of the
problem are proved. Sufficient conditions for the existence
and nonexistence of positive solutions for the problem are
obtained. An example is included to illustrate the results.
Published September 25, 2010.
Math Subject Classifications: 34B15.
Key Words: Boundary value problems; existence of positive
solutions; nonexistence of positive solutions; nonlinear
equations; third order problem; three point boundary conditions.
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John R. Graef Department of Mathematics University of Tennessee at Chattanooga Chattanooga, TN 37403, USA email: John-Graef@utc.edu |
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Lingju Kong Department of Mathematics University of Tennessee at Chattanooga Chattanooga, TN 37403, USA email: Lingju-Kong@utc.edu |
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Bo Yang Department of Mathematics and Statistics Kennesaw State University Kennesaw, GA 30144, USA email: byang@kennesaw.edu |
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