文章基本信息

标题：Sturm-Liouville systems are Riesz-spectral systems
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作者：Cédric Delattre ; Denis Dochain ; Joseph Winkin 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2003
卷号：13
期号：4
出版社：De Gruyter Open
摘要：The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L ² (a, b) and the infinitesimal generator of a C ₀-semigroup of bounded linear operators
关键词：Sturm-Liouville system; Riesz-spectral system; infinite-dimensional state-space system; C ₀-semigroup