International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 32, Pages 2035-2052
doi:10.1155/S0161171203206347

Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain

J. Límaco,1 H. R. Clark,1 and L. A. Medeiros2

 1IM-GMA, Universidade Federal Fluminense, Niteri, RJ, Brazil
2Universidade Federal do Rio de Janeiro, IM, Rio de Janeiro, RJ, Brazil
Received 24 June 2002

Abstract

We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small displacements.