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.