Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 119, pp. 1-12.

Title: Unbounded upper and lower solution method for third-order
       boundary-value problems on the half-line

Authors: Chuanzhi Bai (Huaiyin Normal Univ., Jiangsu, China)
         Chunhong Li  (Huaiyin Normal Univ., Jiangsu, China)

Abstract:
 In this article, we prove the existence of unbounded upper and lower
 solutions of third-order boundary-value problems on the half-line.
 Here the Nagumo conditions play an important role in the nonlinear term
 involved in the second-order derivatives.

Submitted April 4, 2009. Published September 27, 2009.
Math Subject Classifications: 34B15, 34B40.
Key Words: Upper and lower solutions; third-order boundary-value problem; 
           half-line; Nagumo-condition