Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 78, pp. 1-8.
Title: Positive solutions for the beam equation under
certain boundary conditions
Author: Bo Yang (Kennesaw State Univ., GA, USA)
Abstract:
We consider a boundary-value problem for the beam equation, in
which the boundary conditions mean that the beam is embedded at
one end and fastened with a sliding clamp at the other end. Some
priori estimates to the positive solutions for the boundary-value
problem are obtained. Sufficient conditions for the existence and
nonexistence of positive solutions for the boundary-value problem
are established.
Submitted April 29, 2005. Published July 8, 2005.
Math Subject Classifications: 34B18.
Key Words: Fixed point theorem; cone; nonlinear boundary-value problem;
positive solution.