Geodesic
Positive solutions for the beam equation under certain boundary conditions
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
@article{EJDE_2005__2005__a128,
     author = {Yang, Bo},
     title = {Positive solutions for the beam equation under certain boundary conditions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a128/}
}
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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__a128/