IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
An iterative method for a second order problem with nonlinear two-point boundary conditions
Autor/es:
P. AMSTER; P. P. CÁRDENAS ALZATE
Revista:
Matemáticas: Enseñanza Universitaria
Editorial:
Corporación Escuela Regional de Matemáticas ERM
Referencias:
Año: 2011 vol. XIX p. 3 - 14
ISSN:
0120-6788
Resumen:
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-Mirandas 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.
