Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 84, pp. 1-15.

Title: Existence of solutions for a two-point boundary-value problem of
       a fourth-order Sturm-Liouville type

Author: Shapour Heidarkhani (Razi Univ., Kermanshah, Iran)

Abstract:
 In this work, we establish the existence of two intervals for
 a parameter $\lambda$ for which a two-point boundary-value 
 problem of fourth-order Sturm-Liouville type admits three weak
 solutions whose norms are uniformly bounded with respect to $\lambda$.
 Employing two three critical point theorems, existence of at least
 three weak solutions is ensured. This approach is based on variational
 methods and critical point theory.

Submitted January 20, 2012. Published May 23, 2012.
Math Subject Classifications: 35J35, 47J10, 58E05.
Key Words: Fourth-order Sturm-Liouville problem;  critical point;
           multiplicity of solutions.