%0 Journal Article
%T An iterative method for a second order problem with nonlinear two-point boundary conditions
%A Pablo Amster
%A Pedro Pablo C¨¢rdenas Alzate
%J Matem¨¢ticas : Ense£¿anza Universitaria
%D 2011
%I Universidad del Valle
%X A semi-linear second order ODE under a nonlinear two-point boundary condition is considered. Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional shooting argument which allows to obtain solutions for some specific situations by the use of Poincar¨¦-Miranda's theorem. Finally, we apply this result combined with the method of upper and lower solutions and develop an iterative sequence that converges to a solution of the problem.
%U http://www.redalyc.org/articulo.oa?id=46822255001