| Autor: |
Tucker, D. H., Baty, R. S. |
| Předmět: |
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| Zdroj: |
Vietnam Journal of Mathematics; 2004 Special Issue, Vol. 32, p24-27, 5p |
| Abstrakt: |
In this paper a Galerkin method is used to construct series solutions of a homogeneous Sturm-Liouville problem defined on [0, &pie;]. The series constructed are shown to converge to a specified du Bois-Reymond function f in L² [0,&Pie;]. It is then shown that the series solutions can be made to converge uniformly to the specified du Bois-Reymond function when averaged by the Cesaro-one summability method. Therefore, in the Cesaro-one sense, every continuous function / o n [0, &Pie;] is the uniform limit of solutions of non-homogeneous Sturm-Liouville problems. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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