An iterative method for a second order problem with nonlinear two-point boundary conditions.
| dc.contributor.author | Amster, Pablo | |
| dc.contributor.author | Cárdenas Alzate, Pedro Pablo | |
| dc.date.accessioned | 2012-11-08T17:56:07Z | |
| dc.date.available | 2012-11-08T17:56:07Z | |
| dc.date.issued | 2012-11-08 | |
| dc.description.abstract | 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´e-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. | spa |
| dc.identifier.uri | https://hdl.handle.net/10893/4112 | |
| dc.language.iso | eng | spa |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.subject | Nonlinear two-point boundary conditions | spa |
| dc.subject | upper and lower solutions | spa |
| dc.subject | Iterative methods | spa |
| dc.title | An iterative method for a second order problem with nonlinear two-point boundary conditions. | spa |
| dc.type | Artículo de revista | spa |
| dspace.entity.type | Publication |