An iterative method for a second order problem with nonlinear two-point boundary conditions

dc.creatorAmster, Pablo Gustavo
dc.creatorCárdenas Alzate, Pedro Pablo
dc.date.accessioned2017-04-06T20:43:53Z
dc.date.accessioned2018-11-06T11:21:44Z
dc.date.available2017-04-06T20:43:53Z
dc.date.available2018-11-06T11:21:44Z
dc.date.created2017-04-06T20:43:53Z
dc.date.issued2011-12
dc.identifierAmster, Pablo Gustavo; Cárdenas Alzate, Pedro Pablo; An iterative method for a second order problem with nonlinear two-point boundary conditions; Corporación Escuela Regional de Matemáticas ERM; Matemáticas: Enseñanza Universitaria; XIX; 2; 12-2011; 3-14
dc.identifier0120-6788
dc.identifierhttp://hdl.handle.net/11336/14916
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1849452
dc.description.abstractA 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.
dc.languageeng
dc.publisherCorporación Escuela Regional de Matemáticas ERM
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.redalyc.org/articulo.oa?id=46822255001
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectNonlinear two-point boundary conditions
dc.subjectUpper and lower solutions
dc.subjectIterative methods
dc.titleAn iterative method for a second order problem with nonlinear two-point boundary conditions
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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