Geodesic
Positive solutions of a non-linear boundary value problem
Samuel Peres1 ; Samuel Peres
1Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava
Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 285-310 
Samuel Peres; Samuel Peres. Positive solutions of a non-linear boundary value problem. Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 285-310. http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a9/
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     title = { Positive solutions of a non-linear boundary value problem},
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Voir la notice de l'article provenant de la source Comenius University

This paper deals with a non-linear second order ordinary dierential equation with symmetric non-linear boundary conditions, where both of the nonlinearities are of power type. It provides results concerning the existence and multiplicity of positive solutions, both symmetric and non-symmetric, for values of parameters not considered before. The main tool is the shooting method.