Geodesic
Existence of multiple positive solutions for third-order boundary-value problem on the half-line with dependence on the first order derivative
Electronic Journal of Differential Equations, Tome 2009 (2009).

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

Summary: By using fixed-point theorem for operators on a cone, sufficient conditions for the existence of multiple positive solutions for a third-order boundary-value problem on the half-line are established. In the case of the p-Laplace operator our results for p>1 generalize previous known results. The interesting point lies in the fact that the nonlinear term is allowed to depend on the first order derivative u'.
Classification : 34B18, 34B40
Keywords: third-order boundary-value problems, positive solutions, half-line, fixed-point index theory 
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     author = {Liang, Sihua and Zhang, Jihui},
     title = {Existence of multiple positive solutions for third-order boundary-value problem on the half-line with dependence on the first order derivative},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a152/}
}
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Liang, Sihua; Zhang, Jihui. Existence of multiple positive solutions for third-order boundary-value problem on the half-line with dependence on the first order derivative. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a152/