Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 89, pp. 1-12.

Title: Existence of multiple positive solutions for third-order
       boundary-value problem on the half-line with dependence on
       the first order derivative

Authors: Sihua Liang (Nanjing Normal Univ., Jiangsu, China)
         Jihui Zhang (Nanjing Normal Univ., Jiangsu, China)

Abstract:
 By using fixed-point theorem for operators on a cone,
 sufficient conditions for the existence of multiple positive
 solutions  for a third-order boundary-value problem on the half-line
 are established. In the case of the p-Laplace operator our results for
 p>1 generalize previous known results. The interesting
 point lies in the fact that the nonlinear term is allowed to depend
 on the first order derivative u'.
  
Submitted March 26, 2009. Published July 27, 2009.
Math Subject Classifications: 34B18, 34B40.
Key Words: Third-order boundary-value problems; positive solutions; 
           half-line; fixed-point index theory.