Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 81, pp. 1-12.

Title:  Periodic solutions of a piecewise linear beam equation
        with
damping and nonconstant load 
        
Author: Yukun An (Northwest Normal Univ., Gansu, China)
         
Abstract: 
  Using the Lyapunov-Schmidt reduction method,
  the authors discuss the existence and multiplicity of
  periodic solutions for a piecewise linear beam equation with
  damping and nonconstant load when the nonlinearities cross the
  eigenvalues. The result answers partially an open question
  possed by Lazer and McKenna [12].
     
Submitted October 02, 2001. Published September 29, 2002.
Math Subject Classifications: 35L30, 35B34.
Key Words: Piecewise linear beam equation; Damping;
           Periodic solution;  Lyapunov-Schmidt reduction.