Eighth Mississippi State - UAB Conference on Differential Equations and Computational Simulations. Electron. J. Diff. Eqns., Conference 19 (2010), pp. 151-159.

Positive solutions to a nonlinear third order three-point boundary value problem

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
Lingju Kong
Department of Mathematics
University of Tennessee at Chattanooga
Chattanooga, TN 37403, USA
email: Lingju-Kong@utc.edu
Bo Yang
Department of Mathematics and Statistics
Kennesaw State University
Kennesaw, GA 30144, USA
email: byang@kennesaw.edu

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