Sturm-Liouville boundary conditions for a second order ODE
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| Format: | Artículo científico |
| Language: | en |
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Escuela Regional de Matemáticas
2007
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| _version_ | 1876425657712377856 |
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| author | Pablo Amster |
| author_facet | Pablo Amster |
| contents | Sturm-Liouville boundary conditions for a second order ODE Pablo Amster Pedro P. Cárdenas Física, Astronomía y Matemáticas Sturm Topological methods Liouville boundary conditions We study the semilinear second order ODE u00 + g(t, u) = 0 under the following Sturm-Liouville boundary condition au(0) + bu0(0) = u0 and cu(T) + du0(T) = uT . We obtainsolutions by topological methods. Moreover, we show that a solution may be constructedrecursively, under appropriate conditions. 2007 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46815102 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.1 Vol.XV |
| format | Artículo científico |
| id | redalyc_46815102 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Escuela Regional de Matemáticas |
| spellingShingle | Sturm-Liouville boundary conditions for a second order ODE Pablo Amster Física, Astronomía y Matemáticas Sturm Topological methods Liouville boundary conditions Sturm-Liouville boundary conditions for a second order ODE Pablo Amster Pedro P. Cárdenas Física, Astronomía y Matemáticas Sturm Topological methods Liouville boundary conditions We study the semilinear second order ODE u00 + g(t, u) = 0 under the following Sturm-Liouville boundary condition au(0) + bu0(0) = u0 and cu(T) + du0(T) = uT . We obtainsolutions by topological methods. Moreover, we show that a solution may be constructedrecursively, under appropriate conditions. 2007 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46815102 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.1 Vol.XV |
| title | Sturm-Liouville boundary conditions for a second order ODE |
| topic | Física, Astronomía y Matemáticas Sturm Topological methods Liouville boundary conditions |
| url | https://www.redalyc.org/articulo.oa?id=46815102 |