Geodesic
Existence of positive solutions for boundary value problems of second-order nonlinear differential equations on the half line
Electronic Journal of Differential Equations, Tome 2009 (2009).

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

Summary: In this article, we study the existence of positive solutions for Sturm-Liouville boundary-value problems of a second-order nonlinear differential equation on the half line. Our approach is based on the fixed point theorem and the monotone iterative technique. Without assuming the existence of lower and upper solution, we obtain the existence of positive solutions, and establish iterative schemes for approximating the solutions.
Classification : 34B10, 34B15, 34B18, 34B40
Keywords: successive iteration, singular differential equation, half line, positive solution 
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     author = {Zhang, Xingqiu},
     title = {Existence of positive solutions for boundary value problems of second-order nonlinear differential equations on the half line},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a150/}
}
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Zhang, Xingqiu. Existence of positive solutions for boundary value problems of second-order nonlinear differential equations on the half line. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a150/