Electronic Journal of Differential Equations,
Vol. 2015 (2015), No. 45, pp. 1-11.

Title: Three solutions for a fourth-order boundary-value problem

Authors: Ghasem A. Afrouzi (Univ. of Mazandaran, Babolsar, Iran)
         Saeid Shokooh     (Univ. of Mazandaran, Babolsar, Iran)

Abstract:
 Using two three-critical points theorems, we prove the existence of at
 least three weak solutions for one-dimensional fourth-order equations.
 Some particular cases and two concrete examples are then presented.

Submitted  November 14, 2014. Published February 17, 2015.
Math Subject Classifications: 34B15, 34B18, 58E05.
Key Words: Dirichlet boundary condition; variational method; critical point