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

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

Authors: John R. Graef (Univ. of Tennessee, Chattanooga, TN, USA)
         Lingju Kong (Univ. of Tennessee, Chattanooga, TN, USA)
	 Bo Yang  (Kennesaw State Univ., Kennesaw, GA, USA)

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.