Existence and nonexistence of positive solutions of a nonlinear third order boundary value problem

J. R. Graef, The University of Tennessee at Chattanooga
Bo Yang, Kennesaw State University, Kennesaw, U.S.A.

E. J. Qualitative Theory of Diff. Equ., Proc. 8'th Coll. Qualitative Theory of Diff. Equ., No. 9. (2008), pp. 1-13.

Received on 2007-08-23
Appeared on 2008-07-01

Abstract: The authors consider a two-point third order boundary value problem, the motivation for which arises from the study of the beam equation. Sufficient conditions for the existence and nonexistence of positive solutions for the problems are obtained. An example is included to illustrate the results.


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