Positive solutions for the beam equation under certain boundary conditions
Electronic journal of differential equations, Tome 2005 (2005)
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.
Classification :
34B18
Keywords: fixed point theorem, cone, nonlinear boundary-value problem, positive solution
Keywords: fixed point theorem, cone, nonlinear boundary-value problem, positive solution
@article{EJDE_2005__2005__a228,
author = {Yang, Bo},
title = {Positive solutions for the beam equation under certain boundary conditions},
journal = {Electronic journal of differential equations},
year = {2005},
volume = {2005},
zbl = {1075.34025},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a228/}
}
Yang, Bo. Positive solutions for the beam equation under certain boundary conditions. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a228/