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Título: An iterative method for a second order problem with nonlinear two-point boundary conditions
Palabras clave: Física, Astronomía y Matemáticas
Nonlinear two-point boundary conditions
upper and lower solutions
iterative methods
Editorial: Escuela Regional de Matemáticas
Descripción: 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 Poincaré-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.
Other Identifiers: http://www.redalyc.org/articulo.oa?id=46822255001
Aparece en las Colecciones:Matemáticas: Enseñanza Universitaria

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